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UI.meta

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  • scrolls.json 10.61 KiB
    [
        {
            "problemTheory": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem",
            "solutionTheory": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Solution",
            "label": "OppositeLen",
            "description": "Given a triangle $0$1$2 right angled at $2, the distance $0$1 can be computed from the angle at $1 and the distance $1$2",
            "requiredFacts": [
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pA",
                    "label": "a",
                    "tp": {
                        "original": {
                            "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
                            "kind": "OMS"
                        },
                        "simplified": {
                            "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
                            "kind": "OMS"
                        }
                    },
                    "df": null
                },
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pB",
                    "label": "b",
                    "tp": {
                        "original": {
                            "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
                            "kind": "OMS"
                        },
                        "simplified": {
                            "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
                            "kind": "OMS"
                        }
                    },
                    "df": null
                },
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pC",
                    "label": "c",
                    "tp": {
                        "original": {
                            "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
                            "kind": "OMS"
                        },
                        "simplified": {
                            "uri": "http://mathhub.info/MitM/core/geometry?3DGeometry?point",
                            "kind": "OMS"
                        }
                    },
                    "df": null
                },
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pdistBC_v",
                    "label": "pdist$1$2_v",
                    "tp": {
                        "original": {
                            "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
                            "kind": "OMS"
                        },
                        "simplified": {
                            "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
                            "kind": "OMS"
                        }
                    },
                    "df": null
                },
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pdistBC",
                    "label": "pdistt$1$2",
                    "tp": {
                        "original": {
                            "applicant": {
                                "uri": "http://mathhub.info/FrameIT/frameworld?DistanceFact?distanceFact",
                                "kind": "OMS"
                            },
                            "arguments": [
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pB",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pC",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pdistBC_v",
                                    "kind": "OMS"
                                }
                            ],
                            "kind": "OMA"
                        },
                        "simplified": {
                            "applicant": {
                                "uri": "http://mathhub.info/FrameIT/frameworld?DistanceFact?distanceFact",
                                "kind": "OMS"
                            },
                            "arguments": [
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pB",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pC",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pdistBC_v",
                                    "kind": "OMS"
                                }
                            ],
                            "kind": "OMA"
                        }
                    },
                    "df": null
                },
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pangleABC_v",
                    "label": "pangleAt$0$1$2_v",
                    "tp": {
                        "original": {
                            "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
                            "kind": "OMS"
                        },
                        "simplified": {
                            "uri": "http://mathhub.info/MitM/Foundation?RealLiterals?real_lit",
                            "kind": "OMS"
                        }
                    },
                    "df": null
                },
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pangleABC",
                    "label": "pangle$0$1$2",
                    "tp": {
                        "original": {
                            "applicant": {
                                "uri": "http://mathhub.info/FrameIT/frameworld?AngleFact?angleFact",
                                "kind": "OMS"
                            },
                            "arguments": [
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pA",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pB",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pC",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pangleABC_v",
                                    "kind": "OMS"
                                }
                            ],
                            "kind": "OMA"
                        },
                        "simplified": {
                            "applicant": {
                                "uri": "http://mathhub.info/FrameIT/frameworld?AngleFact?angleFact",
                                "kind": "OMS"
                            },
                            "arguments": [
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pA",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pB",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pC",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pangleABC_v",
                                    "kind": "OMS"
                                }
                            ],
                            "kind": "OMA"
                        }
                    },
                    "df": null
                },
                {
                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pangleBCA",
                    "label": "pangle$1$2$0",
                    "tp": {
                        "original": {
                            "applicant": {
                                "uri": "http://mathhub.info/FrameIT/frameworld?AngleFact?angleFact",
                                "kind": "OMS"
                            },
                            "arguments": [
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pB",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pC",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pA",
                                    "kind": "OMS"
                                },
                                {
                                    "float": 90.0,
                                    "kind": "OMF"
                                }
                            ],
                            "kind": "OMA"
                        },
                        "simplified": {
                            "applicant": {
                                "uri": "http://mathhub.info/FrameIT/frameworld?AngleFact?angleFact",
                                "kind": "OMS"
                            },
                            "arguments": [
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pB",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pC",
                                    "kind": "OMS"
                                },
                                {
                                    "uri": "http://mathhub.info/FrameIT/frameworld?OppositeLen_Problem?pA",
                                    "kind": "OMS"
                                },
                                {
                                    "float": 90.0,
                                    "kind": "OMF"
                                }
                            ],
                            "kind": "OMA"
                        }
                    },
                    "df": null
                }
            ]
        }
    ]