High Quality Content by WIKIPEDIA articles! 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.Pasch published this axiom in 1882, and showed that Euclid's axioms were incomplete.In other treatments of elementary geometry, Pasch's axiom can be proved as a theorem; it is a consequence of the plane separation postulate.

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