What is the meaning of hyperbolic geometry?

noun

  • 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. (
    • usage: "Karl Gauss pioneered hyperbolic geometry"
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APAWordNet. (2010). hyperbolic geometry. Retrieved September 22, 2026, from http://smartdefine.org/hyperbolic_geometry/definitions/1214876
ChicagoWordNet. 2010. "hyperbolic geometry" http://smartdefine.org/hyperbolic_geometry/definitions/1214876 (accessed September 22, 2026).
HarvardWordNet 2010, hyperbolic geometry, Smart Define, viewed 22 September, 2026, <http://smartdefine.org/hyperbolic_geometry/definitions/1214876>.
MLAWordNet. "hyperbolic geometry" 23 October 2010. Web. 22 September 2026. <http://smartdefine.org/hyperbolic_geometry/definitions/1214876>