hyperbolic geometry

English

Etymology

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

Noun

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.
  2. (geometry) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature

Synonyms

  • Lobachevsky-Bolyai-Gauss geometry

Further reading

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