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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.


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yvlog History and Origins

Origin of hyperbolic geometry1

First recorded in 1870–75
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Example Sentences

Examples have not been reviewed.

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.

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

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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.

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

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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.

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