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Definitions and Synonyms of non-euclidean geometry | Another word for non-euclidean geometry | What is non-euclidean geometry?

Definition 1: (mathematics) geometry based on axioms different from Euclid's - [noun denoting cognition]

Samples where non-euclidean geometry or its synonyms are used according to this definition

  • non-Euclidean geometries discard or replace one or more of the Euclidean axioms

(non-euclidean geometry is a kind of ...) the pure mathematics of points and lines and curves and surfaces

(... is a kind of non-euclidean 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

"Karl Gauss pioneered hyperbolic geometry"

(... is a kind of non-euclidean geometry ) (mathematics) a non-Euclidean geometry that regards space as like a sphere and a line as like a great circle

"Bernhard Riemann pioneered elliptic geometry"

(non-euclidean geometry belongs to category ...) a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement

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