"nine-point circle" meaning in English

See nine-point circle in All languages combined, or Wiktionary

Noun

Forms: nine-point circles [plural]
Etymology: So called because the circle passes through nine points of interest: the feet of the three altitudes, the centers of the three sides, and the midpoints of the segments which join the triangle's vertices with its orthocenter. Head templates: {{en-noun}} nine-point circle (plural nine-point circles)
  1. That circle which passes through the feet of the altitudes of a given triangle. Categories (topical): Circle, Curves, Nine, Trigonometry Synonyms: nine points circle
    Sense id: en-nine-point_circle-en-noun-L-xUeiTe Categories (other): English entries with incorrect language header

Inflected forms

Alternative forms

Download JSON data for nine-point circle meaning in English (1.7kB)

{
  "etymology_text": "So called because the circle passes through nine points of interest: the feet of the three altitudes, the centers of the three sides, and the midpoints of the segments which join the triangle's vertices with its orthocenter.",
  "forms": [
    {
      "form": "nine-point circles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nine-point circle (plural nine-point circles)",
      "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"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Circle",
          "orig": "en:Circle",
          "parents": [
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            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Curves",
          "orig": "en:Curves",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Nine",
          "orig": "en:Nine",
          "parents": [
            "Numbers",
            "All topics",
            "Terms by semantic function",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Trigonometry",
          "orig": "en:Trigonometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "That circle which passes through the feet of the altitudes of a given triangle."
      ],
      "id": "en-nine-point_circle-en-noun-L-xUeiTe",
      "links": [
        [
          "feet",
          "foot"
        ],
        [
          "altitude",
          "altitude"
        ],
        [
          "triangle",
          "triangle"
        ]
      ],
      "synonyms": [
        {
          "word": "nine points circle"
        }
      ]
    }
  ],
  "word": "nine-point circle"
}

{
  "etymology_text": "So called because the circle passes through nine points of interest: the feet of the three altitudes, the centers of the three sides, and the midpoints of the segments which join the triangle's vertices with its orthocenter.",
  "forms": [
    {
      "form": "nine-point circles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "nine-point circle (plural nine-point circles)",
      "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",
        "en:Circle",
        "en:Curves",
        "en:Nine",
        "en:Trigonometry"
      ],
      "glosses": [
        "That circle which passes through the feet of the altitudes of a given triangle."
      ],
      "links": [
        [
          "feet",
          "foot"
        ],
        [
          "altitude",
          "altitude"
        ],
        [
          "triangle",
          "triangle"
        ]
      ]
    }
  ],
  "synonyms": [
    {
      "word": "nine points circle"
    }
  ],
  "word": "nine-point circle"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.

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.