hyperbolic geometry

Etymology
The terminology was introduced in 1871 by, who classified some non-Euclidean geometries as , , and.

Noun

 * 1)  A type of geometry that rejects the .  Given a straight line L and a point P not on the line, more than one straight line can be drawn through P without intersecting L.
 * 2)  A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature