non-euclidean geometry
English Thesaurus
1. (mathematics) geometry based on axioms different from Euclid's (noun.cognition)
| hypernym | : | geometry, |
| definition | : | the pure mathematics of points and lines and curves and surfaces (noun.cognition) |
| hyponym | : | hyperbolic geometry, |
| definition | : | (mathematics) a non-Euclidean geometry in which the parallel axiom is replaced by the assumption that through any point in a plane there are two or more lines that do not intersect a given line in the plane (noun.cognition) |
| hyponym | : | elliptic geometry, riemannian geometry, |
| definition | : | (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle (noun.cognition) |
| domain category | : | math, mathematics, maths, |
| definition | : | a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement (noun.cognition) |
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