hyperbolic geometry

American  

noun

Geometry.

1. 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.

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Etymology

Origin of hyperbolic geometry

First recorded in 1870–75

Example Sentences

See Examples For:

hyperbolic geometry

The project is a global community art initiative, produced mostly by thousands of women who crochet colorful, breathtakingly beautiful reef-like forms according to principles of hyperbolic geometry.

From Los Angeles Times ● Aug. 29, 2024

The project also explores mathematical themes, since many living reef organisms biologically approximate the quirky curvature of hyperbolic geometry.

From New York Times ● Jan. 15, 2024

Two main possibilities then arise: one is spherical geometry, in which parallel lines can eventually touch, in the way that Earth’s meridians cross at the poles; the other is hyperbolic geometry, in which they diverge.

From Nature ● Mar. 20, 2017

Two initially parallel rays of light will diverge, and this is referred to as hyperbolic geometry.

From Textbooks ● Oct. 13, 2016

Riemann discovered elliptic metrical geometry, and Lobatchewsky hyperbolic geometry.

From Encyclopaedia Britannica, 11th Edition, Volume 11, Slice 6 "Geodesy" to "Geometry" by Various