Pasch's axiom

English

Its essential role was discovered in 1882 by the German mathematician Moritz Pasch.

Pasch's axiom

(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.

单词	Pasch's axiom
释义	Pasch's axiom English Etymology Its essential role was discovered in 1882 by the German mathematician Moritz Pasch. Proper noun Pasch's axiom (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 Pasch's theorem
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