diff --git a/Assets/Scripts/GlobalBehaviour.cs b/Assets/Scripts/GlobalBehaviour.cs
index 124d016520e45407bea2079ff914cbee815eeb3f..d01555d4117c5701e20021045eace536562ed614 100644
--- a/Assets/Scripts/GlobalBehaviour.cs
+++ b/Assets/Scripts/GlobalBehaviour.cs
@@ -80,43 +80,43 @@ IEnumerator _GetScrollsfromServer()
             //UnityWebRequest request = UnityWebRequest.Get("https://019a8ea5-843a-498b-8d0c-778669aef987.mock.pstmn.io/get");
 
             System.DateTime requestTime = System.DateTime.UtcNow;
-            //UnityWebRequest request = null;
-            //for (int i = 0; i < this.tryScrollListTimes; i++)
-            //{
-            //    request = UnityWebRequest.Get(CommunicationEvents.ServerAdress + "/scroll/list");
-            //    request.method = UnityWebRequest.kHttpVerbGET;
-
-            //    yield return request.SendWebRequest();
-
-            //    if (request.result == UnityWebRequest.Result.ConnectionError
-            //     || request.result == UnityWebRequest.Result.ProtocolError)
-            //    {
-            //        Debug.LogWarning(request.error);
-            //        Debug.Log("GET Scroll/list failed. Attempt: " + (i + 1).ToString());
-            //    }
-            //    else
-            //        break;
-            //}
-            //while (request.result == UnityWebRequest.Result.InProgress)
-            //    yield return null;
+            UnityWebRequest request = null;
+            for (int i = 0; i < this.tryScrollListTimes; i++)
+            {
+                request = UnityWebRequest.Get(CommunicationEvents.ServerAdress + "/scroll/list");
+                request.method = UnityWebRequest.kHttpVerbGET;
+
+                yield return request.SendWebRequest();
+
+                if (request.result == UnityWebRequest.Result.ConnectionError
+                 || request.result == UnityWebRequest.Result.ProtocolError)
+                {
+                    Debug.LogWarning(request.error);
+                    Debug.Log("GET Scroll/list failed. Attempt: " + (i + 1).ToString());
+                }
+                else
+                    break;
+            }
+            while (request.result == UnityWebRequest.Result.InProgress)
+                yield return null;
 
             System.DateTime answerTime = System.DateTime.UtcNow;
 
             string jsonString = null;
 
-            //if (request.result == UnityWebRequest.Result.ConnectionError
-            // || request.result == UnityWebRequest.Result.ProtocolError)
-            //{
-            //    Debug.LogWarning(request.error);
-            //}
-            //else
-            //{
-            //    CommunicationEvents.ServerRunning = true;
-
-            //    while (!request.downloadHandler.isDone)
-            //        yield return null;
-            //    jsonString = request.downloadHandler.text;
-            //}
+            if (request.result == UnityWebRequest.Result.ConnectionError
+             || request.result == UnityWebRequest.Result.ProtocolError)
+            {
+                Debug.LogWarning(request.error);
+            }
+            else
+            {
+                CommunicationEvents.ServerRunning = true;
+
+                while (!request.downloadHandler.isDone)
+                    yield return null;
+                jsonString = request.downloadHandler.text;
+            }
 
             if (string.IsNullOrEmpty(jsonString)
              || jsonString.Equals("[]"))
diff --git a/Assets/Scripts/InteractionEngine/AlignText.cs b/Assets/Scripts/InteractionEngine/AlignText.cs
index 7fb526d0d842472dcbfaee80d0499febd649d582..6b26612dcc25753dd9c2c102dc0c329ac8163b91 100644
--- a/Assets/Scripts/InteractionEngine/AlignText.cs
+++ b/Assets/Scripts/InteractionEngine/AlignText.cs
@@ -1,45 +1,35 @@
 using System.Collections;
 using UnityEngine;
-//using UnityEngine.EventSystems;
-using static UIconfig;
 
 public class AlignText : MonoBehaviour
 {
-    // Start is called before the first frame update
-
     private Camera Cam;
     public Camera Cam1;
     public Camera Cam2;
     public Camera BackUPCam;
-    // public GameObject Moving_GObj;
 
 
     void Start()
     {
-
         StartCoroutine(CheckForNewMainCamRoutine());
-
     }
 
-    // Update is called once per frame
     void Update()
     {
-        //print("Cam" + Cam);
-        //CheckForNewMainCamRoutine();
-        if (Cam == null) { return; }
+        if (Cam == null)
+            return;
 
         transform.forward = Cam.transform.forward;
 
-        //Not yet the perfect solution
-        //Problem is the relative rotation of the TextMesh to the Line-Parent
-        //transform.rotation = Quaternion.Lerp(transform.parent.transform.rotation, Cam.transform.rotation, 0);
-        //if (Moving_GObj) {  }
-
+        //TODO: this should be done via event system when controlMode is changed; not every Frame!
         //Überprüfen ob Textfeld einen Collider hat, und wenn ja dieser aktiv sein soll
-        if (gameObject.GetComponent<BoxCollider>() != null)
+        if (gameObject.TryGetComponent(out BoxCollider boxCollider))
         {
-            if (UIconfig.controlMode == ControlMode.Keyboard) { gameObject.GetComponent<BoxCollider>().enabled = false; }    
-            if (UIconfig.controlMode == ControlMode.Mobile) { gameObject.GetComponent<BoxCollider>().enabled = true; }    
+            if (UIconfig.controlMode == UIconfig.ControlMode.Keyboard) 
+                boxCollider.enabled = false;
+
+            if (UIconfig.controlMode == UIconfig.ControlMode.Mobile)
+                boxCollider.enabled = true;
         }
     }
 
@@ -53,30 +43,15 @@ Camera toCamMain()
         return Camera.main;
     }
 
-
-
     IEnumerator CheckForNewMainCamRoutine()
     {
-
         yield return new WaitForSeconds(0);//Verzögerung für Bug aufhebung hinzugefügt, Bug selbst aktuell vergessen
-        switch (UIconfig.MainCameraID)
+        Cam = UIconfig.MainCameraID switch
         {
-            case 0:
-                Cam = toCamMain();
-                break;
-            case 1:
-                Cam = Cam1;
-                break;
-            case 2:
-                Cam = Cam2;
-                break;
-            default:
-                Cam = toCamMain();
-                break;
-        }
-        //StopCoroutine(CheckForNewMainCamRoutine());
-        //print("Stopped:CheckForNewMainCamRoutine()");
-        //Cam = Camera.main;
+            0 => toCamMain(),
+            1 => Cam1,
+            2 => Cam2,
+            _ => toCamMain(),
+        };
     }
-
 }
diff --git a/Assets/Scripts/InventoryStuff/ScrollDetails.cs b/Assets/Scripts/InventoryStuff/ScrollDetails.cs
index 42d1b5f873630f7a223088ded2721d888f6ba94b..91237778ccc4f2d4177ccfc193af037796d8624e 100644
--- a/Assets/Scripts/InventoryStuff/ScrollDetails.cs
+++ b/Assets/Scripts/InventoryStuff/ScrollDetails.cs
@@ -333,6 +333,8 @@ string prepareScrollAssignments()
 
     private void processScrollDynamicInfo(ScrollDynamicInfo scrollDynamicInfo)
     {
+        //TODO: more hints available in scrollDynamicInfo.rendered.requiredFacts
+
         LatestBackwartsCompletions = scrollDynamicInfo.backward_completions.Count > 0
             ? scrollDynamicInfo.backward_completions[0]
             : new List<ScrollAssignment>();
diff --git a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 2D.JSON b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 2D.JSON
index e9edb1ab9601769f44936d3a05de6e4cf28bbda9..09c47812aee815f038534c16e30ead52065218a6 100644
--- a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 2D.JSON	
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 2D.JSON	
@@ -7,20 +7,20 @@
   "solution": {
     "ValidationSet": [],
     "ExposedSolutionFacts": [
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact126",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact127",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact128",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact129",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact132",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact135",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact138",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact141",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact144",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact147",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact150",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact153",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact156",
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact159",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact7",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact8",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact9",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact10",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact13",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact16",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact19",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact22",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact25",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact28",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact31",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact34",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact37",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact40",
       "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(-1E-05, 0.2337258), [t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 14.71507, 18.63876), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 7.3575, -24.0345), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(-1E-05)))}, [Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))})",
       "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0.2337158, 0.4320768), [t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 16.16695, 13.02121), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 18.38171, -6.944755), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(0.2337158)))}, [Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))})",
       "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0.4320667, 0.9467315), [t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.61987, 11.64365), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -13.14871, -5.555804), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(0.4320667)))}, [Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))})",
@@ -54,182 +54,211 @@
       "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(17.73751, 17.75141), [t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 6.800538E-07, 10.70287), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0.06806608, 0.005233891), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(17.73751)))}, [Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))})",
       "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(17.7514, 17.76254), [t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 5.448217E-07, 10.70295), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0.05453122, 0.004187113), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(17.7514)))}, [Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))})"
     ],
+    "ScrollOverwrites": {
+      "http://mathhub.info/FrameIT/frameworld?WBouncingScroll": [
+        {
+          "Item1": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact7",
+          "Item2": 0,
+          "Item3": true
+        },
+        {
+          "Item1": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact8",
+          "Item2": 1,
+          "Item3": true
+        },
+        {
+          "Item1": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact9",
+          "Item2": 2,
+          "Item3": true
+        },
+        {
+          "Item1": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact10",
+          "Item2": 3,
+          "Item3": true
+        },
+        {
+          "Item1": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact41",
+          "Item2": 4,
+          "Item3": true
+        }
+      ]
+    },
     "ImmutableFacts": [],
     "WorkflowGadgetDict": {
       "-1": null
     },
     "MetaInf": {
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact126": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact7": {
         "workflow_id": 0,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact127": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact8": {
         "workflow_id": 1,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact128": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact9": {
         "workflow_id": 2,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact129": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact10": {
         "workflow_id": 3,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact130": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact11": {
         "workflow_id": 4,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact131": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact12": {
         "workflow_id": 5,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact132": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact13": {
         "workflow_id": 6,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact133": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact14": {
         "workflow_id": 7,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact134": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact15": {
         "workflow_id": 8,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact135": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact16": {
         "workflow_id": 9,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact136": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact17": {
         "workflow_id": 10,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact137": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact18": {
         "workflow_id": 11,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact138": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact19": {
         "workflow_id": 12,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact139": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact20": {
         "workflow_id": 13,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact140": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact21": {
         "workflow_id": 14,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact141": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact22": {
         "workflow_id": 15,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact142": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact23": {
         "workflow_id": 16,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact143": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact24": {
         "workflow_id": 17,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact144": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact25": {
         "workflow_id": 18,
         "active": true,
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index 6aa160d13bd9e524bb72d3e28f8a57fa5ceca79f..ed000d42ede208fa3dea88fb3c1376b103b6789c 100644
--- a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 2D.JSON.meta	
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 2D.JSON.meta	
@@ -1,5 +1,5 @@
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diff --git a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 3D.JSON b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 3D.JSON
index 83a9ec634ef58e500d50457509eb00645114b3ca..27406c9cef85de2cbce01d292327c9ef47d042bd 100644
--- a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 3D.JSON	
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 3D.JSON	
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@@ -22420,7 +9982,24 @@
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@@ -22550,273 +10130,9 @@
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@@ -22824,6 +10140,7 @@
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     "path": null
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   "solution_approches": [],
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index 7464d73bc532edc55281c9f663290b382fbf9e6d..f279c2d23133494bd2db46de08c6f6ea4202a427 100644
--- a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 3D.JSON.meta	
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/CanonBall 3D.JSON.meta	
@@ -1,5 +1,5 @@
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+guid: ff0a7c5092a226b4fadb8e48adb580b4
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diff --git a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/SlingShot.JSON b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/SlingShot.JSON
new file mode 100644
index 0000000000000000000000000000000000000000..0d51225930f26c51e903e97ea7d5d043f97bcf72
--- /dev/null
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/SlingShot.JSON
@@ -0,0 +1,2680 @@
+{
+  "category": "Demo Category",
+  "number": 3,
+  "description": "Find the correct velocity for the SlingShot to bounce once on the island within range, such that the projectile lands on the other side.",
+  "scene": "RiverWorld",
+  "use_install_folder": true,
+  "solution": {
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+    "ExposedSolutionFacts": [
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact181",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact182",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact183",
+	  "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact179"
+    ],
+    "ScrollOverwrites": {
+      "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll": [
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+          "Item2": 3,
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+          "Item2": 4,
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+      "http://mathhub.info/FrameIT/frameworld?RiverScrollSimple": [
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+          "Item2": 2,
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+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact127",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact128",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact129",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact130",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact131",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact132",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact133",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact134",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact135",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact136",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact137",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact138",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact139",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact140",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact141",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact142",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact143",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact144",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact145",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact146",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact147",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact148",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact149",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact150",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact151",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact152",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact153",
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+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact156",
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+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact158",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact159",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact160",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact161",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact162",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact163",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact164",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact165",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact166",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact167",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact168",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact169",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact170",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact171",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact172",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact173",
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+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact175",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact176",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact177",
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+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact181",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact182",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact183"
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+    "MetaInf": {
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     "path": null
   },
+  "record_index": null,
   "solution_approches": [],
   "AllowedScrolls": null,
   "AllowedGadgets": null,
diff --git a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo A.JSON.meta b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo A.JSON.meta
index d61d9d1f8e1278bfbda2a71c03f0e808142b1f6b..dcf5b70bed065046fd054c78dba7a4612064a4b6 100644
--- a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo A.JSON.meta	
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo A.JSON.meta	
@@ -1,5 +1,5 @@
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diff --git a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON
index 50d370c069a1941494deb1160f3cb4fd9086368e..ab1afaec81783300c64197b086a4645c108d0cb5 100644
--- a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON	
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON	
@@ -34,6 +34,7 @@
       }
     ],
     "ExposedSolutionFacts": [],
+    "ScrollOverwrites": {},
     "ImmutableFacts": [],
     "WorkflowGadgetDict": {
       "-1": null
@@ -64,7 +65,7 @@
         "gadget_rank": -1,
         "scroll_label": null,
         "GadgetFlow": [],
-        "GadgetTime": 0.9207362000000785
+        "GadgetTime": 0.0
       },
       {
         "Id": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact5",
@@ -74,7 +75,7 @@
         "gadget_rank": -1,
         "scroll_label": null,
         "GadgetFlow": [],
-        "GadgetTime": 0.9207362000000785
+        "GadgetTime": 0.0
       },
       {
         "Id": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact6",
@@ -84,7 +85,7 @@
         "gadget_rank": -1,
         "scroll_label": null,
         "GadgetFlow": [],
-        "GadgetTime": 0.9207362000000785
+        "GadgetTime": 0.0
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     "marker": 3,
@@ -111,11 +112,7 @@
           "sqrMagnitude": 1.0
         },
         "s_type": "PointFact",
-        "ServerDefinition": {
-          "kind": "OMS",
-          "uri": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact4"
-        },
-        "Label": "A",
+        "_CustomLabel": null,
         "hasCustomLabel": false,
         "LabelId": 1
       },
@@ -142,11 +139,7 @@
           "sqrMagnitude": 1.0
         },
         "s_type": "PointFact",
-        "ServerDefinition": {
-          "kind": "OMS",
-          "uri": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact5"
-        },
-        "Label": "B",
+        "_CustomLabel": null,
         "hasCustomLabel": false,
         "LabelId": 2
       },
@@ -161,11 +154,7 @@
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           "sqrMagnitude": 1.0
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-          "kind": "OMS",
-          "uri": "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact6"
-        },
-        "Label": "[AB]",
+        "_CustomLabel": null,
         "hasCustomLabel": false,
         "LabelId": 0
       }
@@ -173,6 +162,7 @@
     "name": null,
     "path": null
   },
+  "record_index": null,
   "solution_approches": [],
   "AllowedScrolls": [
     "http://mathhub.info/FrameIT/frameworld?OppositeLen"
diff --git a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON.meta b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON.meta
index 8fa8794e3e62caa548b2fd4fbf62c853a4ffa656..6851d44019ef1824af3d5d33e10ca29e0730bd00 100644
--- a/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON.meta	
+++ b/Assets/StreamingAssets/StreamToDataPath_withHandler/Stages/TechDemo B.JSON.meta	
@@ -1,5 +1,5 @@
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diff --git a/Assets/StreamingAssets/StreamToPersistentDataPath/scrolls.json b/Assets/StreamingAssets/StreamToPersistentDataPath/scrolls.json
index 0666f7109f68165a286348d90b60eef49c00f795..544f6e91eaa6a28b0545cf6967b25f913137ff13 100644
--- a/Assets/StreamingAssets/StreamToPersistentDataPath/scrolls.json
+++ b/Assets/StreamingAssets/StreamToPersistentDataPath/scrolls.json
@@ -1,1232 +1,39254 @@
 [
-    {
-        "ref": "http://mathhub.info/FrameIT/frameworld?Midpoint",
-        "label": "MidPoint",
-        "description": "Our MidPoint scroll that given two points P and Q computes the midpoint of the line PQ.",
-        "requiredFacts": [
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P"
-                },
-                "label": "P",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
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-                },
-                "label": "Q",
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-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            }
-        ],
-        "acquiredFacts": [
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-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Solution?midpoint"
-                },
-                "label": "Mid[PQ]",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": {
-                    "applicant": {
-                        "uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "applicant": {
-                                "uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
-                                "kind": "OMS"
-                            },
-                            "arguments": [
-                                {
-                                    "float": 0.5,
-                                    "kind": "OMF"
-                                },
-                                {
-                                    "applicant": {
-                                        "uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
-                                        "kind": "OMS"
-                                    },
-                                    "arguments": [
-                                        {
-                                            "applicant": {
-                                                "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint",
-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
-                                                    "kind": "OMS"
-                                                }
-                                            ],
-                                            "kind": "OMA"
-                                        },
-                                        {
-                                            "applicant": {
-                                                "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint",
-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
-                                                    "kind": "OMS"
-                                                }
-                                            ],
-                                            "kind": "OMA"
-                                        }
-                                    ],
-                                    "kind": "OMA"
-                                }
-                            ],
-                            "kind": "OMA"
-                        },
-                        {
-                            "applicant": {
-                                "uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
-                                "kind": "OMS"
-                            },
-                            "arguments": [
-                                {
-                                    "float": 0.5,
-                                    "kind": "OMF"
-                                },
-                                {
-                                    "applicant": {
-                                        "uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
-                                        "kind": "OMS"
-                                    },
-                                    "arguments": [
-                                        {
-                                            "applicant": {
-                                                "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint",
-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
-                                                    "kind": "OMS"
-                                                }
-                                            ],
-                                            "kind": "OMA"
-                                        },
-                                        {
-                                            "applicant": {
-                                                "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint",
-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
-                                                    "kind": "OMS"
-                                                }
-                                            ],
-                                            "kind": "OMA"
-                                        }
-                                    ],
-                                    "kind": "OMA"
-                                }
-                            ],
-                            "kind": "OMA"
-                        },
-                        {
-                            "applicant": {
-                                "uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
-                                "kind": "OMS"
-                            },
-                            "arguments": [
-                                {
-                                    "float": 0.5,
-                                    "kind": "OMF"
-                                },
-                                {
-                                    "applicant": {
-                                        "uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
-                                        "kind": "OMS"
-                                    },
-                                    "arguments": [
-                                        {
-                                            "applicant": {
-                                                "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint",
-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
-                                                    "kind": "OMS"
-                                                }
-                                            ],
-                                            "kind": "OMA"
-                                        },
-                                        {
-                                            "applicant": {
-                                                "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint",
-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
-                                                    "kind": "OMS"
-                                                }
-                                            ],
-                                            "kind": "OMA"
-                                        }
-                                    ],
-                                    "kind": "OMA"
-                                }
-                            ],
-                            "kind": "OMA"
-                        }
-                    ],
-                    "kind": "OMA"
-                },
-                "kind": "general"
-            }
-        ]
-    },
-    {
-        "ref": "http://mathhub.info/FrameIT/frameworld?OppositeLen",
-        "label": "OppositeLen",
-        "description": "Given a triangle △ABC right-angled at ⊾C, the opposide side has length CA = tan(∠ABC) ⋅ BC.",
-        "requiredFacts": [
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?A"
-                },
-                "label": "A",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?B"
-                },
-                "label": "B",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?C"
-                },
-                "label": "C",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem_RightAngleAtC?rightAngleC"
-                },
-                "label": "⊾C",
-                "tp": {
-                    "applicant": {
-                        "uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "applicant": {
-                                "uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
-                                "kind": "OMS"
-                            },
-                            "arguments": [
-                                {
-                                    "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-                                    "kind": "OMS"
-                                },
-                                {
-                                    "applicant": {
-                                        "uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between",
-                                        "kind": "OMS"
-                                    },
-                                    "arguments": [
-                                        {
-                                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?B",
-                                            "kind": "OMS"
-                                        },
-                                        {
-                                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?C",
-                                            "kind": "OMS"
-                                        },
-                                        {
-                                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?A",
-                                            "kind": "OMS"
-                                        }
-                                    ],
-                                    "kind": "OMA"
-                                },
-                                {
-                                    "float": 90.0,
-                                    "kind": "OMF"
-                                }
-                            ],
-                            "kind": "OMA"
-                        }
-                    ],
-                    "kind": "OMA"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen/Problem?distanceBC"
-                },
-                "label": "BC",
-                "lhs": {
-                    "applicant": {
-                        "uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?B",
-                            "kind": "OMS"
-                        },
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?C",
-                            "kind": "OMS"
-                        }
-                    ],
-                    "kind": "OMA"
-                },
-                "valueTp": {
-                    "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-                    "kind": "OMS"
-                },
-                "value": null,
-                "proof": null,
-                "kind": "veq"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtB?angleB"
-                },
-                "label": "∠ABC",
-                "lhs": {
-                    "applicant": {
-                        "uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?A",
-                            "kind": "OMS"
-                        },
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?B",
-                            "kind": "OMS"
-                        },
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?C",
-                            "kind": "OMS"
-                        }
-                    ],
-                    "kind": "OMA"
-                },
-                "valueTp": {
-                    "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-                    "kind": "OMS"
-                },
-                "value": null,
-                "proof": null,
-                "kind": "veq"
-            }
-        ],
-        "acquiredFacts": [
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen/Solution?deducedLineCA"
-                },
-                "label": "CA",
-                "lhs": {
-                    "applicant": {
-                        "uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?C",
-                            "kind": "OMS"
-                        },
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?A",
-                            "kind": "OMS"
-                        }
-                    ],
-                    "kind": "OMA"
-                },
-                "valueTp": {
-                    "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-                    "kind": "OMS"
-                },
-                "value": {
-                    "applicant": {
-                        "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "applicant": {
-                                "uri": "http://mathhub.info/MitM/Foundation?Trigonometry?tan",
-                                "kind": "OMS"
-                            },
-                            "arguments": [
-                                {
-                                    "xml": "no raw OMDoc XML here for performance reasons",
-                                    "kind": "RAW"
-                                }
-                            ],
-                            "kind": "OMA"
-                        },
-                        {
-                            "xml": "no raw OMDoc XML here for performance reasons",
-                            "kind": "RAW"
-                        }
-                    ],
-                    "kind": "OMA"
-                },
-                "proof": {
-                    "applicant": {
-                        "uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "applicant": {
-                                "uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
-                                "kind": "OMS"
-                            },
-                            "arguments": [
-                                {
-                                    "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-                                    "kind": "OMS"
-                                },
-                                {
-                                    "applicant": {
-                                        "uri": "http://mathhub.info/MitM/Foundation?DescriptionOperator?that",
-                                        "kind": "OMS"
-                                    },
-                                    "arguments": [
-                                        {
-                                            "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-                                            "kind": "OMS"
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-                                        {
-                                            "xml": "no raw OMDoc XML here for performance reasons",
-                                            "kind": "RAW"
-                                        },
-                                        {
-                                            "applicant": {
-                                                "uri": "http://mathhub.info/MitM/Foundation?Logic?ImplicitProof",
-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "applicant": {
-                                                        "uri": "http://mathhub.info/MitM/Foundation?Logic?exists",
-                                                        "kind": "OMS"
-                                                    },
-                                                    "arguments": [
-                                                        {
-                                                            "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-                                                            "kind": "OMS"
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-                                            "kind": "OMA"
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-                                    ],
-                                    "kind": "OMA"
-                                },
-                                {
-                                    "applicant": {
-                                        "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
-                                        "kind": "OMS"
-                                    },
-                                    "arguments": [
-                                        {
-                                            "applicant": {
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-                                                "kind": "OMS"
-                                            },
-                                            "arguments": [
-                                                {
-                                                    "xml": "no raw OMDoc XML here for performance reasons",
-                                                    "kind": "RAW"
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-                                            ],
-                                            "kind": "OMA"
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-                                        {
-                                            "xml": "no raw OMDoc XML here for performance reasons",
-                                            "kind": "RAW"
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-                                    ],
-                                    "kind": "OMA"
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-                            ],
-                            "kind": "OMA"
-                        },
-                        {
-                            "string": "OppositeLen Scroll",
-                            "kind": "OMSTR"
-                        }
-                    ],
-                    "kind": "OMA"
-                },
-                "kind": "veq"
-            }
-        ]
-    },
-    {
-        "ref": "http://mathhub.info/FrameIT/frameworld?AngleSum",
-        "label": "AngleSum",
-        "description": "Given a triangle △ABC and two known angles, we can deduce the missing angle by: ∠BCA = 180° - ∠BAC - ∠ABC.",
-        "requiredFacts": [
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?A"
-                },
-                "label": "A",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?B"
-                },
-                "label": "B",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?C"
-                },
-                "label": "C",
-                "tp": {
-                    "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-                    "kind": "OMS"
-                },
-                "df": null,
-                "kind": "general"
-            },
-            {
-                "ref": {
-                    "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem_AngleAtA?angleA"
-                },
-                "label": "∠BAC",
-                "lhs": {
-                    "applicant": {
-                        "uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between",
-                        "kind": "OMS"
-                    },
-                    "arguments": [
-                        {
-                            "uri": "http://mathhub.info/FrameIT/frameworld?TriangleProblem?B",
-                            "kind": "OMS"
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+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "By Pythagora's theorem",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll",
+		"label": "CylinderVolumeScroll",
+		"description": "This scroll caclculates the volume of a cylinder with top â—‹c, base â—‹C, height [MS] and intersection points M and S. The formula is V = [MS] â‹… A(â—‹C) . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top"
+				},
+				"label": "â—‹c",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH"
+				},
+				"label": " ○c⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top"
+				},
+				"label": "S∈○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize"
+				},
+				"label": "â—‹C=â—‹c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V:â—‹Câ—‹c ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"applicant": {
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize",
+													"kind": "OMS"
+												},
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "CylinderVolume Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll",
+		"label": "CircleLineAngleToAngle",
+		"description": "CircleLineAngle don't work as normal angles, therefore this scrolls converts a CircleLineAngle ∠○CL to a normal angle ∠PBA, if it is 90°.",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L"
+				},
+				"label": "L",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine"
+				},
+				"label": " ○C⊥L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle"
+				},
+				"label": "∠○CL",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A"
+				},
+				"label": "A",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B"
+				},
+				"label": "B",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P"
+				},
+				"label": "P",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L"
+				},
+				"label": "A∈L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L"
+				},
+				"label": " B∈L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C"
+				},
+				"label": " B∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C"
+				},
+				"label": " P∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle"
+				},
+				"label": "∠PBA",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "CastAngle",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?Midpoint",
+		"label": "MidPoint",
+		"description": "Our MidPoint scroll that given two points P and Q computes the midpoint of the line PQ.",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P"
+				},
+				"label": "P",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q"
+				},
+				"label": "Q",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Solution?midpoint"
+				},
+				"label": "Mid[PQ]",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": {
+					"applicant": {
+						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"value": 0.5,
+									"kind": "OMLIT<Double>"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"value": 0.5,
+									"kind": "OMLIT<Double>"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"value": 0.5,
+									"kind": "OMLIT<Double>"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "general"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleScroll",
+		"label": "CircleScroll",
+		"description": "Calculating a circle defined by the middle M, an edge point A and a point on the circle plane B. ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A"
+				},
+				"label": "A",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B"
+				},
+				"label": "B",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC"
+				},
+				"label": "â—‹M",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+							"kind": "OMS"
+						},
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR"
+				},
+				"label": "râ—‹M",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A",
+							"kind": "OMS"
+						}
+					],
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+											"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"kind": "OMS"
+										}
+									],
+									"ret": {
+										"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+										"kind": "OMS"
+									},
+									"kind": "FUNTYPE"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": {
+					"applicant": {
+						"uri": "http://gl.mathhub.info/MMT/LFX/Datatypes?ListOperations?map",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?StepUntil?stepUntil",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+											"kind": "OMS"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?prep",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?wallsr",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?position",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?velocity",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?g_base",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?get_next_vals",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?wallsr",
+											"kind": "OMS"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?g_base",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?bounce",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?end_cond",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"Wrapper": {
+								"kind": "FUN",
+								"params": [
+									{
+										"name": "vals",
+										"tp": {
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+													"kind": "OMS"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									}
+								],
+								"body": {
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?map_fun_list",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"name": "vals",
+											"kind": "VAR"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?g_base",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							}
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "general"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll",
+		"label": "CircleLineAngleScroll",
+		"description": " Caclculates the angle between the plane of â—‹C and the line L ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L"
+				},
+				"label": "L",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A"
+				},
+				"label": "A",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L"
+				},
+				"label": " A∈L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C"
+				},
+				"label": " A∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle"
+				},
+				"label": "∠○CL",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+																	"kind": "OMS"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "PlaneAngleScroll Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll",
+		"label": "CircleAreaScroll",
+		"description": " This scroll is calculating the area of the circle â—‹C via the formula A = râ‹… râ‹… pi",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC"
+				},
+				"label": "r",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"uri": "http://mathhub.info/MitM/Foundation?Trigonometry?pi_num",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?Trigonometry?pi_num",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "CircleArea Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll",
+		"label": "ConeVolumeScroll",
+		"description": "This scroll caclculates the volume of a cone with apex S and base â—‹C with area A(â—‹C) and the height [MS].                 The formula is V =  [MS] â‹…  A(â—‹C) / 3 . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V â—‹C ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeOf",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+							"value": 3.0,
+							"kind": "OMLIT<Double>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeOf",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"value": 3.0,
+											"kind": "OMLIT<Double>"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "ConeVolume Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll",
+		"label": "TruncatedConeVolumeScroll",
+		"description": "This scroll caclculates the volume of a truncated cone with top ○c, base ○C and height [MS]. The formula is:                  V = [MS] ⋅ ( A(○C) + √(A(○c) ⋅ A(○C) ) + A(○c)) / 3 . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top"
+				},
+				"label": "â—‹c",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH"
+				},
+				"label": " ○c⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top"
+				},
+				"label": "S∈○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?areaTop"
+				},
+				"label": "A(â—‹c)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize"
+				},
+				"label": "○C≠○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?unequalityCircles",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V:â—‹Câ—‹c ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"applicant": {
+																		"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																		"kind": "OMS"
+																	},
+																	"arguments": [
+																		{
+																			"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+																			"kind": "OMS"
+																		}
+																	],
+																	"kind": "OMA"
+																},
+																{
+																	"applicant": {
+																		"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																		"kind": "OMS"
+																	},
+																	"arguments": [
+																		{
+																			"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?areaTop",
+																			"kind": "OMS"
+																		}
+																	],
+																	"kind": "OMA"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?areaTop",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+							"value": 3.0,
+							"kind": "OMLIT<Double>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?truncatedConeVolume",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?mkTruncatedCone",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?proofOfUnEqualSize",
+													"kind": "OMS"
+												},
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"applicant": {
+																		"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																		"kind": "OMS"
+																	},
+																	"arguments": [
+																		{
+																			"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+																			"kind": "OMS"
+																		}
+																	],
+																	"kind": "OMA"
+																},
+																{
+																	"applicant": {
+																		"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot",
+																		"kind": "OMS"
+																	},
+																	"arguments": [
+																		{
+																			"applicant": {
+																				"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+																				"kind": "OMS"
+																			},
+																			"arguments": [
+																				{
+																					"applicant": {
+																						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																						"kind": "OMS"
+																					},
+																					"arguments": [
+																						{
+																							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+																							"kind": "OMS"
+																						}
+																					],
+																					"kind": "OMA"
+																				},
+																				{
+																					"applicant": {
+																						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																						"kind": "OMS"
+																					},
+																					"arguments": [
+																						{
+																							"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?areaTop",
+																							"kind": "OMS"
+																						}
+																					],
+																					"kind": "OMA"
+																				}
+																			],
+																			"kind": "OMA"
+																		}
+																	],
+																	"kind": "OMA"
+																}
+															],
+															"kind": "OMA"
+														},
+														{
+															"applicant": {
+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll/Problem?areaTop",
+																	"kind": "OMS"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"value": 3.0,
+											"kind": "OMLIT<Double>"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "TruncatedConeVolume Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	}
 ]
\ No newline at end of file
diff --git a/Assets/StreamingAssets/scrolls.json b/Assets/StreamingAssets/scrolls.json
index 63327be2c68929ce47bdcce0140f28adf1b3c68a..544f6e91eaa6a28b0545cf6967b25f913137ff13 100644
--- a/Assets/StreamingAssets/scrolls.json
+++ b/Assets/StreamingAssets/scrolls.json
@@ -234,42 +234,159 @@
 				},
 				"value": {
 					"applicant": {
-						"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit",
+						"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?subtraction",
 						"kind": "OMS"
 					},
 					"arguments": [
 						{
+							"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
 							"value": 180.0,
 							"kind": "OMLIT<Double>"
 						},
 						{
 							"applicant": {
-								"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit",
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?SupplementaryAngles/Problem?angleABD",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
 								"kind": "OMS"
 							},
 							"arguments": [
+								{
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@@ -285,5200 +402,939 @@
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+		"label": "Pythagoras",
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+				},
+				"label": "BC",
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+				},
+				"label": "BA",
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+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
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-																	],
-																	"kind": "OMA"
+																	"uri": "http://mathhub.info/FrameIT/frameworld?Pythagoras/Problem?distanceBC",
+																	"kind": "OMS"
 																}
 															],
 															"kind": "OMA"
@@ -5488,63 +1344,1571 @@
 												}
 											],
 											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "By Pythagora's theorem",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll",
+		"label": "CylinderVolumeScroll",
+		"description": "This scroll caclculates the volume of a cylinder with top â—‹c, base â—‹C, height [MS] and intersection points M and S. The formula is V = [MS] â‹… A(â—‹C) . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top"
+				},
+				"label": "â—‹c",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH"
+				},
+				"label": " ○c⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?S_on_Top"
+				},
+				"label": "S∈○c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize"
+				},
+				"label": "â—‹C=â—‹c",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?equalityCircles",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V:â—‹Câ—‹c ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"applicant": {
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?cylinderVolume",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCylinder?mkCylinder",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?CylinderVolumeScroll/Problem?proofOfEqualSize",
+													"kind": "OMS"
+												},
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?proofParallelCircles",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?orthoTopH",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "CylinderVolume Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll",
+		"label": "CircleLineAngleToAngle",
+		"description": "CircleLineAngle don't work as normal angles, therefore this scrolls converts a CircleLineAngle ∠○CL to a normal angle ∠PBA, if it is 90°.",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L"
+				},
+				"label": "L",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?orthogonalCircleLine"
+				},
+				"label": " ○C⊥L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle"
+				},
+				"label": "∠○CL",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A"
+				},
+				"label": "A",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B"
+				},
+				"label": "B",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P"
+				},
+				"label": "P",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A_on_L"
+				},
+				"label": "A∈L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L"
+				},
+				"label": " B∈L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_C"
+				},
+				"label": " B∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P_on_C"
+				},
+				"label": " P∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Solution?deduceAngle"
+				},
+				"label": "∠PBA",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?angle_between",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?P",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "CastAngle",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?Midpoint",
+		"label": "MidPoint",
+		"description": "Our MidPoint scroll that given two points P and Q computes the midpoint of the line PQ.",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P"
+				},
+				"label": "P",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q"
+				},
+				"label": "Q",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Solution?midpoint"
+				},
+				"label": "Mid[PQ]",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": {
+					"applicant": {
+						"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"value": 0.5,
+									"kind": "OMLIT<Double>"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?xofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"value": 0.5,
+									"kind": "OMLIT<Double>"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?yofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"value": 0.5,
+									"kind": "OMLIT<Double>"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?P",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?zofpoint",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Midpoint/Problem?Q",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "general"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleScroll",
+		"label": "CircleScroll",
+		"description": "Calculating a circle defined by the middle M, an edge point A and a point on the circle plane B. ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A"
+				},
+				"label": "A",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B"
+				},
+				"label": "B",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC"
+				},
+				"label": "â—‹M",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circle3D",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointsToPlaneNormal",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?B",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+							"kind": "OMS"
+						},
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceR"
+				},
+				"label": "râ—‹M",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+											"kind": "OMS"
 										},
 										{
-											"applicant": {
-												"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
-												"kind": "OMS"
-											},
-											"arguments": [
-												{
-													"applicant": {
-														"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_pow",
-														"kind": "OMS"
-													},
-													"arguments": [
-														{
-															"applicant": {
-																"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius",
-																"kind": "OMS"
-															},
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-											"kind": "OMA"
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+							"kind": "OMA"
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+				},
+				"label": "M∈○M",
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+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?deduceC",
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 								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
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+								}
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+				"df": {
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+						"kind": "OMS"
+					},
+					"arguments": [
+						{
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+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?M",
+							"kind": "OMS"
+						},
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?trivial",
+								"kind": "OMS"
+							},
+							"arguments": [
 								{
 									"applicant": {
-										"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+										"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
 										"kind": "OMS"
 									},
 									"arguments": [
 										{
 											"applicant": {
-												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
 												"kind": "OMS"
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 											"arguments": [
 												{
-													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
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@@ -5552,68 +2916,37 @@
 										},
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 											"applicant": {
-												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleMidPoint",
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 											"arguments": [
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-													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
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 										}
 									],
 									"kind": "OMA"
 								}
 							],
 							"kind": "OMA"
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-							"value": "CylinderVolume Scroll",
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 					],
 					"kind": "OMA"
 				},
-				"kind": "veq"
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-	},
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-		"label": "CircleLineAngleToAngle",
-		"description": "CircleLineAngle don't work as normal angles, therefore this scrolls converts a CircleLineAngle ∠○CL to a normal angle ∠PBA, if it is 90°.",
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-					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C"
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 			{
 				"ref": {
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+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Solution?edgeOnCircle"
 				},
-				"label": " ○C⊥L",
+				"label": "A∈○M",
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 					"applicant": {
 						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
@@ -5622,16 +2955,16 @@
 					"arguments": [
 						{
 							"applicant": {
-								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
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 							},
 							"arguments": [
 								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?C",
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 								},
 								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?L",
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleScroll/Problem?A",
 									"kind": "OMS"
 								}
 							],
@@ -5642,514 +2975,1048 @@
 				},
 				"df": null,
 				"kind": "general"
-			},
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?BouncingScroll",
+		"label": "BouncingScroll",
+		"description": "Bouncing ",
+		"requiredFacts": [
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 				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?planeLineAngle"
+					"uri": "http://mathhub.info/FrameIT/frameworld?BouncingScroll/funcs?get_ht"
 				},
-				"label": "∠○CL",
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-						"kind": "OMS"
-					},
-					"arguments": [
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-				},
-				"label": "A∈L",
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-									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?A",
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+									"applicant": {
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-					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleToAngleScroll/Problem?B_on_L"
+					"uri": "http://mathhub.info/FrameIT/frameworld?BouncingScroll/funcs?new_ht"
 				},
-				"label": " B∈L",
+				"label": "<no label>",
 				"tp": {
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-					"arguments": [
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@@ -7118,88 +6572,97 @@
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@@ -7352,84 +7041,6 @@
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@@ -7445,29 +7056,114 @@
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@@ -14490,32 +17053,79 @@
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@@ -14531,7 +17141,7 @@
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@@ -14543,19 +17153,38 @@
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@@ -14923,33 +17654,61 @@
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@@ -15304,8 +18099,8 @@
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@@ -15318,41 +18113,175 @@
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@@ -15362,62 +18291,196 @@
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@@ -15430,10 +18493,19 @@
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@@ -15444,48 +18516,8 @@
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@@ -15499,6 +18531,227 @@
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@@ -22201,8 +27083,17 @@
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@@ -22229,8 +27120,8 @@
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+					"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?calc_new_vals"
 				},
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-																																	"kind": "OMS"
-																																}
-																															],
-																															"kind": "OMA"
-																														}
-																													],
-																													"kind": "OMA"
-																												}
-																											],
-																											"kind": "OMA"
-																										}
-																									],
-																									"kind": "OMA"
-																								}
-																							],
-																							"kind": "OMA"
-																						}
-																					],
-																					"kind": "OMA"
+																					"name": "vals",
+																					"kind": "VAR"
+																				}
+																			],
+																			"kind": "OMA"
+																		}
+																	],
+																	"kind": "OMA"
+																},
+																{
+																	"applicant": {
+																		"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																		"kind": "OMS"
+																	},
+																	"arguments": [
+																		{
+																			"applicant": {
+																				"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																				"kind": "OMS"
+																			},
+																			"arguments": [
+																				{
+																					"name": "vals",
+																					"kind": "VAR"
 																				}
 																			],
 																			"kind": "OMA"
-																		},
-																		{
-																			"value": 4.626e-12,
-																			"kind": "OMLIT<Double>"
 																		}
 																	],
 																	"kind": "OMA"
@@ -27830,1533 +34240,2738 @@
 														}
 													],
 													"kind": "OMA"
+												},
+												{
+													"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+													"value": 10.0,
+													"kind": "OMLIT<Double>"
 												}
 											],
 											"kind": "OMA"
 										},
 										{
-											"value": 0.3333333333333333,
-											"kind": "OMLIT<Double>"
+											"type": "http://cds.omdoc.org/urtheories?Bool?BOOL",
+											"value": true,
+											"kind": "OMLIT<Boolean>"
+										},
+										{
+											"type": "http://cds.omdoc.org/urtheories?Bool?BOOL",
+											"value": false,
+											"kind": "OMLIT<Boolean>"
 										}
 									],
 									"kind": "OMA"
 								},
 								{
 									"applicant": {
-										"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+										"uri": "http://mathhub.info/FrameIT/frameworld?IfThenElseX?ifthenelsex",
 										"kind": "OMS"
 									},
 									"arguments": [
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?Logic?prop",
+											"kind": "OMS"
+										},
 										{
 											"applicant": {
-												"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+												"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?leq_real_lit",
 												"kind": "OMS"
 											},
 											"arguments": [
 												{
-													"applicant": {
-														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
-														"kind": "OMS"
-													},
-													"arguments": [
-														{
-															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
-															"kind": "OMS"
-														}
-													],
-													"kind": "OMA"
+													"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+													"value": 99999.0,
+													"kind": "OMLIT<Double>"
 												},
 												{
 													"applicant": {
-														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
 														"kind": "OMS"
 													},
 													"arguments": [
 														{
-															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
-															"kind": "OMS"
-														}
-													],
-													"kind": "OMA"
-												}
-											],
-											"kind": "OMA"
-										},
-										{
-											"value": 0.3333333333333333,
-											"kind": "OMLIT<Double>"
-										}
-									],
-									"kind": "OMA"
-								}
-							],
-							"kind": "OMA"
-						},
-						{
-							"value": "ConeVolume Scroll",
-							"kind": "OMLIT<String>"
-						}
-					],
-					"kind": "OMA"
-				},
-				"kind": "veq"
-			}
-		]
-	},
-	{
-		"ref": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll",
-		"label": "TruncatedConeVolumeScroll",
-		"description": "This scroll caclculates the volume of a truncated cone with top ○c, base ○C and height [MS]. The formula is:                  V = [MS] ⋅ ( A(○C) + √(A(○c) ⋅ A(○C) ) + A(○c)) / 3 . ",
-		"requiredFacts": [
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
-				},
-				"label": "S",
-				"tp": {
-					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-					"kind": "OMS"
-				},
-				"df": null,
-				"kind": "general"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
-				},
-				"label": "M",
-				"tp": {
-					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
-					"kind": "OMS"
-				},
-				"df": null,
-				"kind": "general"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
-				},
-				"label": "â—‹C",
-				"tp": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
-					"kind": "OMS"
-				},
-				"df": null,
-				"kind": "general"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
-				},
-				"label": "SM",
-				"tp": {
-					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
-					"kind": "OMS"
-				},
-				"df": null,
-				"kind": "general"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
-				},
-				"label": "[MS]",
-				"lhs": {
-					"applicant": {
-						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
-						"kind": "OMS"
-					},
-					"arguments": [
-						{
-							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
-							"kind": "OMS"
-						},
-						{
-							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
-							"kind": "OMS"
-						}
-					],
-					"kind": "OMA"
-				},
-				"valueTp": {
-					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-					"kind": "OMS"
-				},
-				"value": null,
-				"proof": null,
-				"kind": "veq"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
-				},
-				"label": "A(â—‹C)",
-				"lhs": {
-					"applicant": {
-						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
-						"kind": "OMS"
-					},
-					"arguments": [
-						{
-							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
-							"kind": "OMS"
-						}
-					],
-					"kind": "OMA"
-				},
-				"valueTp": {
-					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
-					"kind": "OMS"
-				},
-				"value": null,
-				"proof": null,
-				"kind": "veq"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
-				},
-				"label": " ○C⊥SM",
-				"tp": {
-					"applicant": {
-						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
-						"kind": "OMS"
-					},
-					"arguments": [
-						{
-							"applicant": {
-								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
-								"kind": "OMS"
-							},
-							"arguments": [
-								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
-									"kind": "OMS"
-								},
-								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
-									"kind": "OMS"
-								}
-							],
-							"kind": "OMA"
-						}
-					],
-					"kind": "OMA"
-				},
-				"df": null,
-				"kind": "general"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
-				},
-				"label": "S∈SM",
-				"tp": {
-					"applicant": {
-						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
-						"kind": "OMS"
-					},
-					"arguments": [
-						{
-							"applicant": {
-								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
-								"kind": "OMS"
-							},
-							"arguments": [
-								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
-									"kind": "OMS"
-								},
-								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
-									"kind": "OMS"
+															"applicant": {
+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"applicant": {
+																		"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																		"kind": "OMS"
+																	},
+																	"arguments": [
+																		{
+																			"applicant": {
+																				"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																				"kind": "OMS"
+																			},
+																			"arguments": [
+																				{
+																					"name": "vals",
+																					"kind": "VAR"
+																				}
+																			],
+																			"kind": "OMA"
+																		}
+																	],
+																	"kind": "OMA"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"type": "http://cds.omdoc.org/urtheories?Bool?BOOL",
+											"value": true,
+											"kind": "OMLIT<Boolean>"
+										},
+										{
+											"type": "http://cds.omdoc.org/urtheories?Bool?BOOL",
+											"value": false,
+											"kind": "OMLIT<Boolean>"
+										}
+									],
+									"kind": "OMA"
 								}
 							],
 							"kind": "OMA"
 						}
-					],
-					"kind": "OMA"
+					}
 				},
-				"df": null,
 				"kind": "general"
 			},
 			{
 				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+					"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?map_reduce_hts"
 				},
-				"label": "M∈SM",
+				"label": "<no label>",
 				"tp": {
-					"applicant": {
-						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
-						"kind": "OMS"
-					},
-					"arguments": [
+					"params": [
 						{
 							"applicant": {
-								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
 								"kind": "OMS"
 							},
 							"arguments": [
 								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
 									"kind": "OMS"
 								},
 								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?Triangles?wall",
 									"kind": "OMS"
 								}
 							],
 							"kind": "OMA"
 						}
 					],
-					"kind": "OMA"
-				},
-				"df": null,
-				"kind": "general"
-			},
-			{
-				"ref": {
-					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
-				},
-				"label": "M∈○C",
-				"tp": {
-					"applicant": {
-						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
-						"kind": "OMS"
+					"ret": {
+						"applicant": {
+							"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+							"kind": "OMS"
+						},
+						"arguments": [
+							{
+								"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+								"kind": "OMS"
+							},
+							{
+								"uri": "http://mathhub.info/FrameIT/frameworld?Triangles?wall",
+								"kind": "OMS"
+							}
+						],
+						"kind": "OMA"
 					},
-					"arguments": [
-						{
+					"kind": "FUNTYPE"
+				},
+				"df": {
+					"Wrapper": {
+						"kind": "FUN",
+						"params": [
+							{
+								"name": "wsi",
+								"tp": {
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?Triangles?wall",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							}
+						],
+						"body": {
 							"applicant": {
-								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"uri": "http://mathhub.info/FrameIT/frameworld?IfThenElseX?ifthenelsex",
 								"kind": "OMS"
 							},
 							"arguments": [
 								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
-									"kind": "OMS"
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?Triangles?wall",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
 								},
 								{
-									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
-									"kind": "OMS"
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?leq_real_lit",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"name": "wsi",
+													"kind": "VAR"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"value": 0.000001,
+											"kind": "OMLIT<Double>"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?IfThenElseX?ifthenelsex",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?Triangles?wall",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?leq_real_lit",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"name": "wsi",
+																	"kind": "VAR"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+													"value": 0.000001,
+													"kind": "OMLIT<Double>"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+															"value": 1.0,
+															"kind": "OMLIT<Double>"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projr",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"name": "wsi",
+																	"kind": "VAR"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
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+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?prep",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?wallsr",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?position",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?velocity",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?g_base",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?get_next_vals",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?wallsr",
+											"kind": "OMS"
+										},
+										{
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?g_base",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?bounce",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?end_cond",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"Wrapper": {
+								"kind": "FUN",
+								"params": [
+									{
+										"name": "vals",
+										"tp": {
+											"applicant": {
+												"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+													"kind": "OMS"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Product",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+															"kind": "OMS"
+														},
+														{
+															"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									}
+								],
+								"body": {
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/funcs?map_fun_list",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"name": "vals",
+											"kind": "VAR"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?T3DBouncingScroll/Problem?g_base",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							}
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "general"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll",
+		"label": "CircleLineAngleScroll",
+		"description": " Caclculates the angle between the plane of â—‹C and the line L ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L"
+				},
+				"label": "L",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A"
+				},
+				"label": "A",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_L"
+				},
+				"label": " A∈L",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A_on_C"
+				},
+				"label": " A∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?A",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Solution?deduceAngle"
+				},
+				"label": "∠○CL",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?angleCircleLine",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+											"kind": "OMS"
+										},
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?radToDegree",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?anglePlaneLineCalc",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/MitM/core/geometry?Planes?planeNormal",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"applicant": {
+																"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circlePlane",
+																"kind": "OMS"
+															},
+															"arguments": [
+																{
+																	"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?C",
+																	"kind": "OMS"
+																}
+															],
+															"kind": "OMA"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?directionLine",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?CircleLineAngleScroll/Problem?L",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "PlaneAngleScroll Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll",
+		"label": "CircleAreaScroll",
+		"description": " This scroll is calculating the area of the circle â—‹C via the formula A = râ‹… râ‹… pi",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC"
+				},
+				"label": "r",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleRadius",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Solution?deduceArea"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"uri": "http://mathhub.info/MitM/Foundation?Trigonometry?pi_num",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?cir",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?CircleAreaScroll/Problem?radiusC",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"uri": "http://mathhub.info/MitM/Foundation?Trigonometry?pi_num",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "CircleArea Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll",
+		"label": "ConeVolumeScroll",
+		"description": "This scroll caclculates the volume of a cone with apex S and base â—‹C with area A(â—‹C) and the height [MS].                 The formula is V =  [MS] â‹…  A(â—‹C) / 3 . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			}
+		],
+		"acquiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeVolumeScroll/Solution?deduceVolume"
+				},
+				"label": "V â—‹C ",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeOf",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+											"kind": "OMS"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+							"value": 3.0,
+							"kind": "OMLIT<Double>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"proof": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?InformalProofs?proofsketch",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/Foundation?Logic?eq",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+									"kind": "OMS"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?volumeCone",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCone?circleConeOf",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+													"kind": "OMS"
+												},
+												{
+													"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+													"kind": "OMS"
+												}
+											],
+											"kind": "OMA"
+										}
+									],
+									"kind": "OMA"
+								},
+								{
+									"applicant": {
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv",
+										"kind": "OMS"
+									},
+									"arguments": [
+										{
+											"applicant": {
+												"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
+												"kind": "OMS"
+											},
+											"arguments": [
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												},
+												{
+													"applicant": {
+														"uri": "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Projl",
+														"kind": "OMS"
+													},
+													"arguments": [
+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height",
+															"kind": "OMS"
+														}
+													],
+													"kind": "OMA"
+												}
+											],
+											"kind": "OMA"
+										},
+										{
+											"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"value": 3.0,
+											"kind": "OMLIT<Double>"
+										}
+									],
+									"kind": "OMA"
+								}
+							],
+							"kind": "OMA"
+						},
+						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
+							"value": "ConeVolume Scroll",
+							"kind": "OMLIT<String>"
+						}
+					],
+					"kind": "OMA"
+				},
+				"kind": "veq"
+			}
+		]
+	},
+	{
+		"ref": "http://mathhub.info/FrameIT/frameworld?TruncatedConeVolumeScroll",
+		"label": "TruncatedConeVolumeScroll",
+		"description": "This scroll caclculates the volume of a truncated cone with top ○c, base ○C and height [MS]. The formula is:                  V = [MS] ⋅ ( A(○C) + √(A(○c) ⋅ A(○C) ) + A(○c)) / 3 . ",
+		"requiredFacts": [
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S"
+				},
+				"label": "S",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M"
+				},
+				"label": "M",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base"
+				},
+				"label": "â—‹C",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H"
+				},
+				"label": "SM",
+				"tp": {
+					"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?line_type",
+					"kind": "OMS"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?height"
+				},
+				"label": "[MS]",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+							"kind": "OMS"
+						},
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?areaBase"
+				},
+				"label": "A(â—‹C)",
+				"lhs": {
+					"applicant": {
+						"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?areaCircle",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+							"kind": "OMS"
+						}
+					],
+					"kind": "OMA"
+				},
+				"valueTp": {
+					"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+					"kind": "OMS"
+				},
+				"value": null,
+				"proof": null,
+				"kind": "veq"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?orthoBaseH"
+				},
+				"label": " ○C⊥SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?orthogonalCircleLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S_on_H"
+				},
+				"label": "S∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?S",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_H"
+				},
+				"label": "M∈SM",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/MitM/core/geometry?Geometry/Common?onLine",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?I_on_C"
+				},
+				"label": "M∈○C",
+				"tp": {
+					"applicant": {
+						"uri": "http://mathhub.info/MitM/Foundation?Logic?ded",
+						"kind": "OMS"
+					},
+					"arguments": [
+						{
+							"applicant": {
+								"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?pointOnCircle",
+								"kind": "OMS"
+							},
+							"arguments": [
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?base",
+									"kind": "OMS"
+								},
+								{
+									"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?M",
+									"kind": "OMS"
+								}
+							],
+							"kind": "OMA"
+						}
+					],
+					"kind": "OMA"
+				},
+				"df": null,
+				"kind": "general"
+			},
+			{
+				"ref": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?TruncatedConeProblem?top"
+				},
+				"label": "â—‹c",
+				"tp": {
+					"uri": "http://mathhub.info/FrameIT/frameworld?FrameITCircle?circleType3D",
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-															"kind": "OMLIT<Double>"
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+															"kind": "OMS"
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+														{
+															"uri": "http://mathhub.info/FrameIT/frameworld?ConeProblem?H",
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@@ -29519,25 +39114,25 @@
 								},
 								{
 									"applicant": {
-										"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+										"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useDiv",
 										"kind": "OMS"
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 									"arguments": [
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-												"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+												"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
 												"kind": "OMS"
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-														"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit",
+														"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?addition",
 														"kind": "OMS"
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@@ -29556,13 +39151,13 @@
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 																	"applicant": {
-																		"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?sqrt",
+																		"uri": "http://mathhub.info/FrameIT/frameworld?FrameITBasics?useRoot",
 																		"kind": "OMS"
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-																				"uri": "http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit",
+																				"uri": "http://mathhub.info/MitM/core/arithmetics?RealArithmetics?multiplication",
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 																			"arguments": [
@@ -29634,7 +39229,8 @@
 											"kind": "OMA"
 										},
 										{
-											"value": 0.3333333333333333,
+											"type": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
+											"value": 3.0,
 											"kind": "OMLIT<Double>"
 										}
 									],
@@ -29644,6 +39240,7 @@
 							"kind": "OMA"
 						},
 						{
+							"type": "http://cds.omdoc.org/urtheories?Strings?string",
 							"value": "TruncatedConeVolume Scroll",
 							"kind": "OMLIT<String>"
 						}