hyperbolic geometry

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.

Word History and Origins

Origin of hyperbolic geometry¹

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

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

From New York Times

With “Point of Infinity,” too, he says he’s interested in the play of presence and absence, or “the presence of immateriality” suggested by its hyperbolic geometry.

From New York Times

In hyperbolic geometry the relationship goes the opposite way: the larger the triangle, the less total angle it has.

From Scientific American

The result was a “saddle”-shaped surface—a hallmark of a field called hyperbolic geometry, which obeys different rules from the geometry most people learn in school.

From Scientific American