KnowraEuclidean geometryLinked fromLinked fromThe 137 pages that link to Euclidean geometry, each with the reason it gives.All 137Broader topic 12Related 15Narrower topic 88Compared with 22EuclidBroader topic: Euclid’s name became attached to the geometric system organized in the Elements.Deductive reasoningBroader topic: Its axiomatic proofs are a foundational example of systematic deduction.GeometryBroader topic: It is the classical framework for familiar flat-plane geometry.Ancient Greek mathematicsBroader topic: Its axioms and deductive propositions became the clearest model of Greek mathematical reasoning.Greek mathematicsBroader topic: Its axiomatic presentation became the clearest model of Greek deductive mathematics.Axiomatic methodBroader topic: It is the canonical theory whose axiom choices prompted comparison with alternative geometries.Foundations of GeometryBroader topic: It provides the canonical example of a geometry organized around explicit postulates.Axiomatic systemBroader topic: Its parallel postulate illustrates how changing one axiom can produce a different theory.Erlangen programBroader topic: Its transformations preserve distances and angles, illustrating Klein’s classification method.History of geometryBroader topic: It became the central framework inherited from ancient Greek geometry.Theon of AlexandriaBroader topic: Theon’s editorial work helped preserve the text that became geometry’s standard foundation.Axiom (general principle)Broader topic: Its parallel postulate became a famous example of a geometric axiom.