"intercept theorem" meaning in English

{
  "forms": [
    {
      "form": "the intercept theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the intercept theorem",
      "name": "en-prop"
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  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
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          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "An important elementary theorem about the ratios of various line segments that are created if two rays with a common starting-point are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles."
      ],
      "id": "en-intercept_theorem-en-name-~1FWGqXS",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "elementary",
          "elementary"
        ],
        [
          "ratio",
          "ratio"
        ],
        [
          "line segment",
          "line segment"
        ],
        [
          "ray",
          "ray"
        ],
        [
          "intercept",
          "intercept"
        ],
        [
          "parallel",
          "parallel"
        ],
        [
          "similar",
          "similar"
        ],
        [
          "triangle",
          "triangle"
        ]
      ],
      "raw_glosses": [
        "(geometry) An important elementary theorem about the ratios of various line segments that are created if two rays with a common starting-point are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles."
      ],
      "synonyms": [
        {
          "word": "basic proportionality theorem"
        },
        {
          "word": "side splitter theorem"
        },
        {
          "word": "Thales's theorem"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "Thaleen teoreema"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "tags": [
            "masculine"
          ],
          "word": "théorème de Thalès"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "neuter"
          ],
          "word": "twierdzenie Talesa"
        }
      ]
    }
  ],
  "word": "intercept theorem"
}

{
  "forms": [
    {
      "form": "the intercept theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the intercept theorem",
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "Translation table header lacks gloss",
        "en:Geometry"
      ],
      "glosses": [
        "An important elementary theorem about the ratios of various line segments that are created if two rays with a common starting-point are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "elementary",
          "elementary"
        ],
        [
          "ratio",
          "ratio"
        ],
        [
          "line segment",
          "line segment"
        ],
        [
          "ray",
          "ray"
        ],
        [
          "intercept",
          "intercept"
        ],
        [
          "parallel",
          "parallel"
        ],
        [
          "similar",
          "similar"
        ],
        [
          "triangle",
          "triangle"
        ]
      ],
      "raw_glosses": [
        "(geometry) An important elementary theorem about the ratios of various line segments that are created if two rays with a common starting-point are intercepted by a pair of parallels. It is equivalent to the theorem about ratios in similar triangles."
      ],
      "synonyms": [
        {
          "word": "basic proportionality theorem"
        },
        {
          "word": "side splitter theorem"
        },
        {
          "word": "Thales's theorem"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "Thaleen teoreema"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "tags": [
        "masculine"
      ],
      "word": "théorème de Thalès"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "neuter"
      ],
      "word": "twierdzenie Talesa"
    }
  ],
  "word": "intercept theorem"
}