| / English Dictionary |
NON-EUCLIDEAN GEOMETRY
| Pronunciation (US): |  | (GB): | |
I. (noun)
Sense 1
Meaning:
(mathematics) geometry based on axioms different from Euclid's
Example:
non-Euclidean geometries discard or replace one or more of the Euclidean axioms
Classified under:
Nouns denoting cognitive processes and contents
Hypernyms ("non-Euclidean geometry" is a kind of...):
geometry (the pure mathematics of points and lines and curves and surfaces)
Domain category:
math; mathematics; maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)
Hyponyms (each of the following is a kind of "non-Euclidean geometry"):
hyperbolic geometry ((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)
elliptic geometry; Riemannian geometry ((mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle)
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