"hyperbolic geometry" meaning in All languages combined

See hyperbolic geometry on Wiktionary

Noun [English]

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”). 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 L, 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-6YLmbLuP Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 57 43 Disambiguation of Pages with 1 entry: 67 33 Disambiguation of Pages with entries: 58 42 Topics: geometry, mathematics, sciences
  2. (geometry) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature Tags: countable, uncountable Categories (topical): Geometry
    Sense id: en-hyperbolic_geometry-en-noun-hamCXW7e Categories (other): Non-Euclidean geometry Disambiguation of Non-Euclidean geometry: 43 57 Topics: geometry, mathematics, sciences
The following are not (yet) sense-disambiguated
Synonyms: Lobachevsky-Bolyai-Gauss geometry

Inflected forms

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    "Beltrami–Klein model",
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  ],
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}

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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 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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