Pasch's theorem

English

Stated in 1882 by the German mathematician Moritz Pasch.

Pasch's theorem

(geometry) A result in plane geometry which cannot be derived from Euclid's postulates. It states that, given points a, b, c, and d on a line, if it is known that the points are ordered as (a, b, c) and (b, c, d), then it is also true that (a, b, d).

单词	Pasch's theorem
释义	Pasch's theorem English Etymology Stated in 1882 by the German mathematician Moritz Pasch. Proper noun Pasch's theorem (geometry) A result in plane geometry which cannot be derived from Euclid's postulates. It states that, given points a, b, c, and d on a line, if it is known that the points are ordered as (a, b, c) and (b, c, d), then it is also true that (a, b, d). See also Pasch's axiom
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