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1 day ago
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{"embedding_dim": 1024, "data": [{"__id__": "ent-37fa14c7fa3dd5ff7de014451e4337fa", "__created_at__": 1753235747, "entity_name": "线段DC", "content": "线段DC\nConstructed line segment forming triangle BCD in the proof.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-33baeb08781cf03b07b33ac6f4b4165b", "__created_at__": 1753235747, "entity_name": "几何原本", "content": "几何原本\nA foundational mathematical text by Euclid, containing definitions, postulates, and propositions.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-79ed6b780adbd4b5c54eaee839998163", "__created_at__": 1753235747, "entity_name": "直线AB", "content": "直线AB\nExtended line segment in the construction for proving triangle inequality.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-53f81d92778b193b6fdd66710857e1d7", "__created_at__": 1753235747, "entity_name": "点P", "content": "点P\nAn arbitrary internal point in triangle ABC, used to prove angle relationships.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-8a5ebf15695060ebf00d53ab04833554", "__created_at__": 1753235747, "entity_name": "三角不等式", "content": "三角不等式\nA mathematical inequality stating that the sum of any two sides of a triangle is greater than the third side.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-8ba3a27004f706af0260e986bc6a092f", "__created_at__": 1753235747, "entity_name": "三角形ABC", "content": "三角形ABC\nA geometric figure used in the proof of the triangle inequality and angle relationships.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-c28aba2ebce9095cd8d78f1df53c3cbe", "__created_at__": 1753235747, "entity_name": "欧几里得第五公理", "content": "欧几里得第五公理\nA fundamental postulate in Euclidean geometry, also known as the parallel postulate.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-1c05bc513bda1ef4c9e16fbdd1e1776a", "__created_at__": 1753235747, "entity_name": "点D", "content": "点D\nA constructed point in the proof, used to demonstrate the triangle inequality.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-ea18035205ee947229c5c7d614a356c8", "__created_at__": 1753235753, "entity_name": "边AC", "content": "边AC\nTriangle side compared in the inequality proof.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-96d4cdff8ed57e93e3b3d843cffe3af7", "__created_at__": 1753235753, "entity_name": "BP", "content": "BP\nBP is a line segment in the geometric problem, intersecting AC at point D.", "source_id": "chunk-f24190139d17b1c4d499b9516ffb8a4f", "file_path": "JiHe.docx"}, {"__id__": "ent-d3c3b57316fea2d4535453adb8187a66", "__created_at__": 1753235753, "entity_name": "边AD", "content": "边AD\nConstructed side demonstrating the triangle inequality |AD|>|AC|.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-4144e097d2fa7a491cec2a7a4322f2bc", "__created_at__": 1753235753, "entity_name": "AC", "content": "AC\nAC is a line segment in the geometric problem, intersected by BP at point D.", "source_id": "chunk-f24190139d17b1c4d499b9516ffb8a4f", "file_path": "JiHe.docx"}, {"__id__": "ent-0609381f0bc3f7122fa19e134756ddf0", "__created_at__": 1753235752, "entity_name": "角∠BDC", "content": "角∠BDC\nAngle in isosceles triangle BCD equal to ∠BCD.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__": "ent-ae789bd9ed299f24fa6d6b8a4ddcc5e8", "__created_at__": 1753235753, "entity_name": "角∠ACD", "content": "角∠ACD\nAngle compared to ∠ADC in the inequality proof.", "source_id": "chunk-4ed981658aa2a32c616f4cf86c4efbaa", "file_path": "JiHe.docx"}, {"__id__":
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