euclidean : Idioms & Phrases


euclidean axiom

  • noun (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
    Euclid's axiom; Euclid's postulate.
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euclidean geometry

  • noun (mathematics) geometry based on Euclid's axioms
    elementary geometry; parabolic geometry.
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euclidean space

  • noun a space in which Euclid's axioms and definitions apply; a metric space that is linear and finite-dimensional
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non-euclidean geometry

  • noun (mathematics) geometry based on axioms different from Euclid's
    • non-Euclidean geometries discard or replace one or more of the Euclidean axioms
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