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

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

From Textbooks • Oct. 13, 2016

When I finally get a chance, I think working on one of the projects from her book will improve both my crochet skills and my understanding of hyperbolic geometry.

From Scientific American • Nov. 17, 2013

Thus as in hyperbolic geometry the theory of similarity does not hold, and the elements of a triangle are determined when its three angles are given.

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