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Definitions of euclid
  1. noun
    Greek geometer (3rd century BC)
Definition that contains euclid
  • euclidian relating to geometry as developed by Euclid
  • riemann pioneer of non-Euclidean geometry (1826-1866)
  • euclidean relating to geometry as developed by Euclid
  • euclidean geometry (mathematics) geometry based on Euclid's axioms
  • parabolic geometry (mathematics) geometry based on Euclid's axioms
  • euclid's axiom (mathematics) any of five axioms that are generally recognized as the basis for 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
  • euclidean space a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
  • bernhard riemann pioneer of non-Euclidean geometry (1826-1866)
  • riemannian of or relating to Riemann's non-Euclidean geometry
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