"Exeter point" meaning in All languages combined

See Exeter point on Wiktionary

Noun [English]

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, Pages with 1 entry, Pages with entries Topics: geometry, mathematics, sciences

Inflected forms

{
  "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": [
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      "expansion": "Exeter point (plural Exeter points)",
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          "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 ^([the Euler line]) passes through the centroid, the Exeter point and the center of the nine-point circle of the triangle.",
          "type": "quote"
        }
      ],
      "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",
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        ],
        [
          "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": [
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        {
          "ref": "2015, Gerard Venema, Just the Facts 101: Foundations of Geometry, Cram101 Textbook Reviews, unnumbered page:",
          "text": "It ^([the Euler line]) passes through the centroid, the Exeter point and the center of the nine-point circle of the triangle.",
          "type": "quote"
        }
      ],
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        "The point of concurrence of the rays DA’, EB’ and FC’."
      ],
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        ]
      ],
      "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’."
      ],
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        "geometry",
        "mathematics",
        "sciences"
      ],
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        "Encyclopedia of Triangle Centers",
        "Exeter point",
        "Exeter, New Hampshire",
        "Phillips Exeter Academy"
      ]
    }
  ],
  "word": "Exeter point"
}

Download raw JSONL data for Exeter point meaning in All languages combined (1.8kB)

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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.