the triangle axiom

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• Axiom — This article is about logical propositions. For other uses, see Axiom (disambiguation). In traditional logic, an axiom or postulate is a proposition that is not proven or demonstrated but considered either to be self evident or to define and… …   Wikipedia

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• Least upper bound axiom — The least upper bound axiom, also abbreviated as the LUB axiom, is an axiom of real analysis stating that if a nonempty subset of the real numbers has an upper bound, then it has a least upper bound. It is an axiom in the sense that it cannot be… …   Wikipedia

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• Pasch's axiom — In geometry, Pasch s axiom, is a result of plane geometry used by Euclid, but yet which cannot be derived from Euclid s postulates. Its axiomatic role was discovered by Moritz Pasch.The axiom states that, in the plane, :A line which intersects… …   Wikipedia

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