Pasch's theorem

English dictionary entry

Meanings

name
  1. 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).

Word forms

Pasch's theorem

Etymology

Stated in 1882 by the German mathematician Moritz Pasch.

Related words

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