“non-Euclidean geometries discard or replace one or more of the Euclidean axioms”
- Types:
-
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:
-
geometry
the pure mathematics of points and lines and curves and surfaces
