hyperbolic geometry
noun
Forms hyperbolic geometries
- noun (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.
- noun (geometry) A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature
Synonyms
Etymology
The terminology was introduced in 1871 by Felix Klein, who classified some non-Euclidean geometries as hyperbolisch (“hyperbolic”), elliptisch (“elliptical”), and parabolisch (“parabolic”).
Sources: Wiktionary — from the Wiktionary entry “hyperbolic geometry”, CC BY-SA 4.0. Details