What is the meaning of non-Euclidean geometry?

noun

  • Mathematics) geometry based on axioms different from Euclid's. (
    • usage: "non-Euclidean geometries discard or replace one or more of the Euclidean axioms"
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APAWordNet. (2010). non-euclidean geometry. Retrieved September 21, 2026, from http://smartdefine.org/non-euclidean_geometry/definitions/1214875
ChicagoWordNet. 2010. "non-euclidean geometry" http://smartdefine.org/non-euclidean_geometry/definitions/1214875 (accessed September 21, 2026).
HarvardWordNet 2010, non-euclidean geometry, Smart Define, viewed 21 September, 2026, <http://smartdefine.org/non-euclidean_geometry/definitions/1214875>.
MLAWordNet. "non-euclidean geometry" 23 October 2010. Web. 21 September 2026. <http://smartdefine.org/non-euclidean_geometry/definitions/1214875>