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Pasch's axiom
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English
Etymology
Its essential role was discovered in 1882 by the German mathematician Moritz Pasch.
Proper noun
Pasch's axiom
en geometry A statement in plane geometry, used implicitly by Euclid, which cannot be derived from Euclid's postulates. It states that, if a line, not passing through any vertex of a triangle, meets one side of the triangle then it meets another side.
See also
en Pasch's theorem
en eponyms