hyperbolic geometry

noun Geometry.
the branch of non-Euclidean geometry that replaces the parallel postulate of Euclidean geometry with the postulate that two distinct lines may be drawn parallel to a given line through a point not on the given line.


Origin:
1870–75

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Based on the Random House Dictionary, © Random House, Inc. 2014.
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WordNet
hyperbolic geometry

noun
(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; "Karl Gauss pioneered hyperbolic geometry" 
WordNet® 3.0, © 2006 by Princeton University.
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Example sentences
For example, plane geometry for plane surfaces and hyperbolic geometry for hyperbolic surfaces.
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