non-euclidean geometry

Noun
  1. (mathematics) geometry based on axioms different from Euclid's (synset 106016126)
    "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"
    referred to in: math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
    is a type of: geometry - the pure mathematics of points and lines and curves and surfaces
    subtypes:
    • 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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