"Morley's trisector theorem" meaning in English

{
  "etymology_text": "Named for Anglo-American mathematician Frank Morley, who discovered it in 1899.",
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  "lang_code": "en",
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          "name": "Geometry",
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      "examples": [
        {
          "ref": "1989, Paul GochetEric Grégoireet al., From Modal Logic to Deductive Databases, Wiley, page 8:",
          "text": "Among the theorems proved by Wu's method are Simon's theorem, the nine point circle theorem, Pascal's theorem, Feuerbach's theorem, Morley's trisector theorem and Thébault's conjecture which was open over forty years and was proved only in 1983.",
          "type": "quote"
        },
        {
          "text": "1996, Dongming Wang, GEOTHER: A Geometry Theorem Prover, M. A. McRobbie, J. K. Slaney (editors), Automated Deduction - Cade-13: 13th International Conference, Proceedings, Springer, LNAI 1104, page 166,\nThe provers are practically efficient: a number of difficult theorems including Morley's trisector theorem, Thebault's recently confirmed conjecture and MacLane's non-existence of real 83 configuration have been proved by them in the matter of seconds."
        }
      ],
      "glosses": [
        "A theorem stating that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle."
      ],
      "id": "en-Morley's_trisector_theorem-en-name-EWeSOsRG",
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        [
          "geometry",
          "geometry"
        ],
        [
          "triangle",
          "triangle"
        ],
        [
          "point",
          "point"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "adjacent",
          "adjacent"
        ],
        [
          "angle",
          "angle"
        ],
        [
          "trisector",
          "trisector"
        ],
        [
          "equilateral triangle",
          "equilateral triangle"
        ]
      ],
      "raw_glosses": [
        "(geometry) A theorem stating that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle."
      ],
      "related": [
        {
          "word": "Morley triangle"
        }
      ],
      "synonyms": [
        {
          "sense": "theorem of geometry",
          "word": "Morley's theorem"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "theorem of geometry",
          "tags": [
            "masculine"
          ],
          "word": "théorème de Morley"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "theorem of geometry",
          "tags": [
            "masculine"
          ],
          "word": "teorema di Morley"
        }
      ],
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        "Frank Morley",
        "Morley's trisector theorem"
      ]
    }
  ],
  "word": "Morley's trisector theorem"
}

{
  "etymology_text": "Named for Anglo-American mathematician Frank Morley, who discovered it in 1899.",
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      "expansion": "Morley's trisector theorem",
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  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Morley triangle"
    }
  ],
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        {
          "ref": "1989, Paul GochetEric Grégoireet al., From Modal Logic to Deductive Databases, Wiley, page 8:",
          "text": "Among the theorems proved by Wu's method are Simon's theorem, the nine point circle theorem, Pascal's theorem, Feuerbach's theorem, Morley's trisector theorem and Thébault's conjecture which was open over forty years and was proved only in 1983.",
          "type": "quote"
        },
        {
          "text": "1996, Dongming Wang, GEOTHER: A Geometry Theorem Prover, M. A. McRobbie, J. K. Slaney (editors), Automated Deduction - Cade-13: 13th International Conference, Proceedings, Springer, LNAI 1104, page 166,\nThe provers are practically efficient: a number of difficult theorems including Morley's trisector theorem, Thebault's recently confirmed conjecture and MacLane's non-existence of real 83 configuration have been proved by them in the matter of seconds."
        }
      ],
      "glosses": [
        "A theorem stating that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "triangle",
          "triangle"
        ],
        [
          "point",
          "point"
        ],
        [
          "intersection",
          "intersection"
        ],
        [
          "adjacent",
          "adjacent"
        ],
        [
          "angle",
          "angle"
        ],
        [
          "trisector",
          "trisector"
        ],
        [
          "equilateral triangle",
          "equilateral triangle"
        ]
      ],
      "raw_glosses": [
        "(geometry) A theorem stating that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle."
      ],
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        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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        "Morley's trisector theorem"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "theorem of geometry",
      "word": "Morley's theorem"
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "theorem of geometry",
      "tags": [
        "masculine"
      ],
      "word": "théorème de Morley"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "theorem of geometry",
      "tags": [
        "masculine"
      ],
      "word": "teorema di Morley"
    }
  ],
  "word": "Morley's trisector theorem"
}