"Exeter point" meaning in English

See Exeter point in All languages combined, or Wiktionary

Noun

Forms: Exeter points [plural]
Etymology: Named for the Phillips Exeter Academy (in the town of Exeter, New Hampshire), where it was discovered during a computers-in-mathematics workshop in 1986. Head templates: {{en-noun}} Exeter point (plural Exeter points)
  1. (geometry, given a triangle ΔABC whose medians intersect its circumcircle at {A, A’}, {B, B’} and {C, C’} and ΔDEF constructed from the tangent lines at A, B and C such that D, E and F are respectively opposite A, B and C) The point of concurrence of the rays DA’, EB’ and FC’. Wikipedia link: Clark Kimberling, Encyclopedia of Triangle Centers, Exeter point, Exeter, New Hampshire, Phillips Exeter Academy Categories (topical): Geometry
    Sense id: en-Exeter_point-en-noun-Ol10w~zR Categories (other): English entries with incorrect language header Topics: geometry, mathematics, sciences

Inflected forms

Download JSON data for Exeter point meaning in English (1.9kB)

{
  "etymology_text": "Named for the Phillips Exeter Academy (in the town of Exeter, New Hampshire), where it was discovered during a computers-in-mathematics workshop in 1986.",
  "forms": [
    {
      "form": "Exeter points",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Exeter point (plural Exeter points)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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            "Entry maintenance"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Gerard Venema, Just the Facts 101: Foundations of Geometry, Cram101 Textbook Reviews, unnumbered page",
          "text": "It passes through the centroid, the Exeter point and the center of the nine-point circle of the triangle.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The point of concurrence of the rays DA’, EB’ and FC’."
      ],
      "id": "en-Exeter_point-en-noun-Ol10w~zR",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "median",
          "median"
        ],
        [
          "circumcircle",
          "circumcircle"
        ],
        [
          "concurrence",
          "concurrence"
        ]
      ],
      "qualifier": "B and C such that D; E and F are respectively opposite A; B and C; B and C such that D; E and F are respectively opposite A; B and C",
      "raw_glosses": [
        "(geometry, given a triangle ΔABC whose medians intersect its circumcircle at {A, A’}, {B, B’} and {C, C’} and ΔDEF constructed from the tangent lines at A, B and C such that D, E and F are respectively opposite A, B and C) The point of concurrence of the rays DA’, EB’ and FC’."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Clark Kimberling",
        "Encyclopedia of Triangle Centers",
        "Exeter point",
        "Exeter, New Hampshire",
        "Phillips Exeter Academy"
      ]
    }
  ],
  "word": "Exeter point"
}
{
  "etymology_text": "Named for the Phillips Exeter Academy (in the town of Exeter, New Hampshire), where it was discovered during a computers-in-mathematics workshop in 1986.",
  "forms": [
    {
      "form": "Exeter points",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Exeter point (plural Exeter points)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with quotations",
        "en:Geometry"
      ],
      "examples": [
        {
          "ref": "2015, Gerard Venema, Just the Facts 101: Foundations of Geometry, Cram101 Textbook Reviews, unnumbered page",
          "text": "It passes through the centroid, the Exeter point and the center of the nine-point circle of the triangle.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The point of concurrence of the rays DA’, EB’ and FC’."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "median",
          "median"
        ],
        [
          "circumcircle",
          "circumcircle"
        ],
        [
          "concurrence",
          "concurrence"
        ]
      ],
      "qualifier": "B and C such that D; E and F are respectively opposite A; B and C; B and C such that D; E and F are respectively opposite A; B and C",
      "raw_glosses": [
        "(geometry, given a triangle ΔABC whose medians intersect its circumcircle at {A, A’}, {B, B’} and {C, C’} and ΔDEF constructed from the tangent lines at A, B and C such that D, E and F are respectively opposite A, B and C) The point of concurrence of the rays DA’, EB’ and FC’."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Clark Kimberling",
        "Encyclopedia of Triangle Centers",
        "Exeter point",
        "Exeter, New Hampshire",
        "Phillips Exeter Academy"
      ]
    }
  ],
  "word": "Exeter point"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.

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