In geometry, Pasch's theorem, stated in 1882 by the German mathematician Moritz Pasch, is a result in plane geometry which cannot be derived from Euclid's postulates. Statement The statement is as follows: [Here, for example, (, , ) means that point lies between points and .] See also Ordered geometry Pasch's axiom Notes References External links Euclidean plane geometry Foundations of geometry Order theory Theorems in plane geometry