Pasch's axiom

English

Etymology

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

Proper noun

Pasch's axiom

1. (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