hyperbolic geometry

noun

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.

Similar
Lobachevsky-Bolyai-Gauss geometry
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Meanings

nounhyperbolic geometry (countable and uncountable, plural hyperbolic geometries)

plural hyperbolic geometries

  1. countableuncountablegeometryA 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.
  2. countableuncountablegeometryA non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature

Synonyms & antonyms

Similar
Lobachevsky-Bolyai-Gauss geometry
Also see
lobachevsky-bolyai-gauss geometry

Origin

The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).

Full word history & related roots →

Translations

Arabic هَنْدَسَة زَائِدِيّة
  • هَنْدَسَة زَائِدِيّةtype of geometry
French géométrie hyperbolique
  • géométrie hyperboliquetype of geometry
Hungarian hiperbolikus geometria
  • hiperbolikus geometriatype of geometry
Polish geometria hiperboliczna
  • geometria hiperbolicznatype of geometry
Cite this entry
APA

hyperbolic geometry. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/hyperbolic%20geometry

MLA

“hyperbolic geometry.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hyperbolic%20geometry. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “hyperbolic geometry,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/hyperbolic%20geometry.

Source: hyperbolic geometry on Wiktionary, CC BY-SA 4.0.