# hyperbolic 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.

Show More

Compare Riemannian geometry.

## Origin of hyperbolic geometry^{}

First recorded in 1870–75

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018