"Ptolemy's theorem" meaning in English

{
  "etymology_text": "Named after the Greek astronomer and mathematician Ptolemy.",
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  "lang_code": "en",
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      "glosses": [
        "A theorem that states in a cyclic quadrilateral, the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the two pairs of opposite sides."
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          "geometry",
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        [
          "cyclic quadrilateral",
          "cyclic quadrilateral"
        ],
        [
          "product",
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          "diagonal",
          "diagonal"
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        [
          "sum",
          "sum"
        ],
        [
          "length",
          "length"
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      "raw_glosses": [
        "(geometry) A theorem that states in a cyclic quadrilateral, the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the two pairs of opposite sides."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Ptolemy's theorem"
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  "word": "Ptolemy's theorem"
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{
  "etymology_text": "Named after the Greek astronomer and mathematician Ptolemy.",
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      "expansion": "Ptolemy's theorem",
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  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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        "English lemmas",
        "English multiword terms",
        "English proper nouns",
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      ],
      "glosses": [
        "A theorem that states in a cyclic quadrilateral, the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the two pairs of opposite sides."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "theorem",
          "theorem"
        ],
        [
          "cyclic quadrilateral",
          "cyclic quadrilateral"
        ],
        [
          "product",
          "product"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "length",
          "length"
        ]
      ],
      "raw_glosses": [
        "(geometry) A theorem that states in a cyclic quadrilateral, the product of the lengths of its diagonals is equal to the sum of the products of the lengths of the two pairs of opposite sides."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Ptolemy's theorem"
      ]
    }
  ],
  "word": "Ptolemy's theorem"
}