"generalised circle" meaning in All languages combined

See generalised circle on Wiktionary

Noun [English]

Forms: generalised circles [plural]
Head templates: {{en-noun}} generalised circle (plural generalised circles)
  1. Alternative form of generalized circle Tags: alt-of, alternative Alternative form of: generalized circle
    Sense id: en-generalised_circle-en-noun-p0EdnHvB Categories (other): English entries with incorrect language header

Inflected forms

Download JSON data for generalised circle meaning in All languages combined (1.9kB)

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  "forms": [
    {
      "form": "generalised circles",
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      "expansion": "generalised circle (plural generalised circles)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "alt_of": [
        {
          "word": "generalized circle"
        }
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      "categories": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
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      "examples": [
        {
          "text": "2005, R. Warcham, J. Cameron, J. Lasenby, Applications of Conformal Geometric Algebra, Hongbo Li, Peter J. Olver, Gerald Sommer (editors), Computer Algebra and Geometric Algebra with Applications, 6th International Workshop IWMM 2004 and International Workshop GIAE 2004, Revised Selected Papers, page 333,\nIt becomes convenient, therefore, to group planes and spheres by the collective term generalised spheres and, similarly, to define a generalised circle as either a circle or a line."
        },
        {
          "text": "2008, Christopher Stone, Ther Use of Linear Fractional Transformations to Produce Building Plans, Stephen R. Wassell, Kim Williams (editors), Nexus Network Journal: Architecture and Mathematics, Volume 10, Number 2, page 342,\nStrictly straight lines through the point at infinity appear as straight lines but are regarded as generalised circles."
        },
        {
          "text": "2012, Circle of Apollonius, entry in Concise Dictionary of Mathematics, V&S Publishers, India, page 75,\nThus, if A, B, and C are given distinct points in the plane, then the locus of points P satisfying (1) is called a “generalised circle.” It may either be a true circle or a line. In this sense a line is a generalised circle of infinite radius."
        }
      ],
      "glosses": [
        "Alternative form of generalized circle"
      ],
      "id": "en-generalised_circle-en-noun-p0EdnHvB",
      "links": [
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  "word": "generalised circle"
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{
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      "form": "generalised circles",
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      "expansion": "generalised circle (plural generalised circles)",
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  "lang": "English",
  "lang_code": "en",
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  "senses": [
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          "word": "generalized circle"
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      "examples": [
        {
          "text": "2005, R. Warcham, J. Cameron, J. Lasenby, Applications of Conformal Geometric Algebra, Hongbo Li, Peter J. Olver, Gerald Sommer (editors), Computer Algebra and Geometric Algebra with Applications, 6th International Workshop IWMM 2004 and International Workshop GIAE 2004, Revised Selected Papers, page 333,\nIt becomes convenient, therefore, to group planes and spheres by the collective term generalised spheres and, similarly, to define a generalised circle as either a circle or a line."
        },
        {
          "text": "2008, Christopher Stone, Ther Use of Linear Fractional Transformations to Produce Building Plans, Stephen R. Wassell, Kim Williams (editors), Nexus Network Journal: Architecture and Mathematics, Volume 10, Number 2, page 342,\nStrictly straight lines through the point at infinity appear as straight lines but are regarded as generalised circles."
        },
        {
          "text": "2012, Circle of Apollonius, entry in Concise Dictionary of Mathematics, V&S Publishers, India, page 75,\nThus, if A, B, and C are given distinct points in the plane, then the locus of points P satisfying (1) is called a “generalised circle.” It may either be a true circle or a line. In this sense a line is a generalised circle of infinite radius."
        }
      ],
      "glosses": [
        "Alternative form of generalized circle"
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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 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.