non-Euclidean geometry 1
noundomain: thinking
Princeton WordNet [ver.3.1]
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EnglishDefinition
(mathematics) geometry based on axioms different from Euclid's
Examples
- 1.non-Euclidean geometries discard or replace one or more of the Euclidean axioms
Hypernym
geometry 1
noun
the pure mathematics of points and lines and curves and surfaces
Domain_of_synset_-_TOPIC
mathematics 1
noun
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
EnglishHyponym
(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
(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
Member_of_this_domain_-_TOPIC
mathematics 1
noun
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
