Pasch's theorem
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English[edit]
Etymology[edit]
Stated in 1882 by the German mathematician Moritz Pasch.
Proper noun[edit]
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).