non-Euclidean geometry

Definitions of non-Euclidean geometry

n (mathematics) geometry based on axioms different from Euclid's

non-Euclidean geometries discard or replace one or more of the Euclidean axioms”
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
Riemannian geometry, elliptic geometry
(mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle
Type of:
the pure mathematics of points and lines and curves and surfaces

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