NON-EUCLIDEAN GEOMETRY

Pronunciation (US):

(GB):

 Dictionary entry overview: What does non-Euclidean geometry mean? 

• NON-EUCLIDEAN GEOMETRY (noun)
  The noun NON-EUCLIDEAN GEOMETRY has 1 sense:

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

  Familiarity information: NON-EUCLIDEAN GEOMETRY used as a noun is very rare.

 Dictionary entry details 

• NON-EUCLIDEAN GEOMETRY (noun)

Sense 1

Meaning:

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

Classified under:

Nouns denoting cognitive processes and contents

Context example:

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

Hypernyms ("non-Euclidean geometry" is a kind of...):

geometry (the pure mathematics of points and lines and curves and surfaces)

Domain category:

math; mathematics; maths (a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement)

Hyponyms (each of the following is a kind of "non-Euclidean geometry"):

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)