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Hyperbolic geometry

noun

Definitions

Noun
  1. 1
    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. countable, uncountable
  2. 2
    (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane wordnet
  3. 3
    A non-Euclidean geometry, that features the hyperbola as geodesic, and has constant negative curvature countable, uncountable

Etymology

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

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