hyperbolic geometry

noun

Etymology

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

Definitions

A type of geometry that rejects the parallel postulate. Given a straight line L and a…
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.
A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant…
A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature

The neighborhood

synonymLobachevsky-Bolyai-Gauss geometry
neighborhyperbolic function
neighborhyperbolic space

Vish — recursive loop

No curated loop yet for hyperbolic geometry. Loops are being traced one word at a time while the ingestion pipeline matures.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA