"Simson line" meaning in All languages combined

See Simson line on Wiktionary

Noun [English]

Forms: Simson lines [plural]
Etymology: Named after Robert Simson, though it had been published prior to his work. Head templates: {{en-noun}} Simson line (plural Simson lines)
  1. (geometry) Given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P. Categories (topical): Circle, Geometry, Shapes Synonyms: Wallace line
    Sense id: en-Simson_line-en-noun-Yd9z9ArP Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: geometry, mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Robert Simson, though it had been published prior to his work.",
  "forms": [
    {
      "form": "Simson lines",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Simson line (plural Simson lines)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Circle",
          "orig": "en:Circle",
          "parents": [
            "Curves",
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Shapes",
          "orig": "en:Shapes",
          "parents": [
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P."
      ],
      "id": "en-Simson_line-en-noun-Yd9z9ArP",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "triangle",
          "triangle#English"
        ],
        [
          "point",
          "point#English"
        ],
        [
          "circumcircle",
          "circumcircle#English"
        ],
        [
          "collinear",
          "collinear#English"
        ]
      ],
      "raw_glosses": [
        "(geometry) Given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P."
      ],
      "synonyms": [
        {
          "word": "Wallace line"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Simson line"
}
{
  "etymology_text": "Named after Robert Simson, though it had been published prior to his work.",
  "forms": [
    {
      "form": "Simson lines",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Simson line (plural Simson lines)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Circle",
        "en:Geometry",
        "en:Shapes"
      ],
      "glosses": [
        "Given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "triangle",
          "triangle#English"
        ],
        [
          "point",
          "point#English"
        ],
        [
          "circumcircle",
          "circumcircle#English"
        ],
        [
          "collinear",
          "collinear#English"
        ]
      ],
      "raw_glosses": [
        "(geometry) Given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P."
      ],
      "synonyms": [
        {
          "word": "Wallace line"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Simson line"
}

Download raw JSONL data for Simson line meaning in All languages combined (1.3kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.