pasch's theorem

Questions

What does pasch's theorem mean?

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).

Where does pasch's theorem come from?

Stated in 1882 by the German mathematician Moritz Pasch.

How to pronounce pasch's theorem

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