"hyperbolic geometry" meaning in English

See hyperbolic geometry in All languages combined, or Wiktionary

Noun

Forms: hyperbolic geometries [plural]
Etymology: The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”). Etymology templates: {{m|de|hyperbolisch|t=hyperbolic}} hyperbolisch (“hyperbolic”), {{m|de|elliptisch|t=elliptical}} elliptisch (“elliptical”), {{m|de|parabolisch|t=parabolic}} parabolisch (“parabolic”) Head templates: {{en-noun|~|head=hyperbolic geometry}} hyperbolic geometry (countable and uncountable, plural hyperbolic geometries)
  1. (geometry) A type of geometry that rejects the parallel postulate. Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L. Tags: countable, uncountable Categories (topical): Geometry
    Sense id: en-hyperbolic_geometry-en-noun-KRjpmN5H Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 47 53 Topics: geometry, mathematics, sciences
  2. (mathematics) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature Tags: countable, uncountable Categories (topical): Mathematics Synonyms: Lobachevsky-Bolyai-Gauss geometry
    Sense id: en-hyperbolic_geometry-en-noun-hamCXW7e Categories (other): English entries with incorrect language header, Non-Euclidean geometry Disambiguation of English entries with incorrect language header: 47 53 Disambiguation of Non-Euclidean geometry: 37 63 Topics: mathematics, sciences

Inflected forms

Download JSON data for hyperbolic geometry meaning in English (3.2kB)

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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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