"homothecy" meaning in All languages combined

See homothecy on Wiktionary

Noun [English]

Audio: LL-Q1860 (eng)-Flame, not lame-homothecy.wav Forms: homothecies [plural]
Head templates: {{en-noun}} homothecy (plural homothecies)
  1. (geometry) A homothetic transformation. Wikipedia link: Homothetic transformation Categories (topical): Geometry Synonyms (type of transformation): homogeneous dilation, homothety
    Sense id: en-homothecy-en-noun-Ww2Kg9cG Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: geometry, mathematics, sciences

Inflected forms

{
  "forms": [
    {
      "form": "homothecies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homothecy (plural homothecies)",
      "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": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1950, Duke Mathematical Journal, Duke University Press, page 76:",
          "text": "Let us determine the center and the ratio of this homothecy.",
          "type": "quote"
        },
        {
          "ref": "1981, Kenneth Joseph Arrow, Michael D. Intriligator, Handbook of Mathematical Economics, North-Holland, page 1720:",
          "text": "The restriction of B to S_b is a homothecy of scale b.",
          "type": "quote"
        },
        {
          "ref": "2013, Felipe Cucker, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Cambridge University Press, page 161:",
          "text": "Proposition 7.4 Homothecies preserve circles. That is, for any homothecy h and any circle C, h(C) is a circle as well.[…]Were we willing to do the same with homothecies, we would meet an obstruction: the composition of two homothecies is not necessarily a homothecy.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A homothetic transformation."
      ],
      "id": "en-homothecy-en-noun-Ww2Kg9cG",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "homothetic",
          "homothetic"
        ],
        [
          "transformation",
          "transformation"
        ]
      ],
      "raw_glosses": [
        "(geometry) A homothetic transformation."
      ],
      "synonyms": [
        {
          "sense": "type of transformation",
          "word": "homogeneous dilation"
        },
        {
          "sense": "type of transformation",
          "word": "homothety"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Homothetic transformation"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-homothecy.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav.ogg"
    }
  ],
  "word": "homothecy"
}
{
  "forms": [
    {
      "form": "homothecies",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "homothecy (plural homothecies)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries",
        "Quotation templates to be cleaned",
        "en:Geometry"
      ],
      "examples": [
        {
          "ref": "1950, Duke Mathematical Journal, Duke University Press, page 76:",
          "text": "Let us determine the center and the ratio of this homothecy.",
          "type": "quote"
        },
        {
          "ref": "1981, Kenneth Joseph Arrow, Michael D. Intriligator, Handbook of Mathematical Economics, North-Holland, page 1720:",
          "text": "The restriction of B to S_b is a homothecy of scale b.",
          "type": "quote"
        },
        {
          "ref": "2013, Felipe Cucker, Manifold Mirrors: The Crossing Paths of the Arts and Mathematics, Cambridge University Press, page 161:",
          "text": "Proposition 7.4 Homothecies preserve circles. That is, for any homothecy h and any circle C, h(C) is a circle as well.[…]Were we willing to do the same with homothecies, we would meet an obstruction: the composition of two homothecies is not necessarily a homothecy.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A homothetic transformation."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "homothetic",
          "homothetic"
        ],
        [
          "transformation",
          "transformation"
        ]
      ],
      "raw_glosses": [
        "(geometry) A homothetic transformation."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Homothetic transformation"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-homothecy.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/f/ff/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-homothecy.wav.ogg"
    }
  ],
  "synonyms": [
    {
      "sense": "type of transformation",
      "word": "homogeneous dilation"
    },
    {
      "sense": "type of transformation",
      "word": "homothety"
    }
  ],
  "word": "homothecy"
}

Download raw JSONL data for homothecy meaning in All languages combined (2.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-13 from the enwiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). 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.