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Pasch's Axiom

In the plane, if a line intersects one side of a Triangle and misses the three Vertices, then it must intersect one of the other two sides. This is a special case of the generalized Menelaus' Theorem with $n=3$.

See also Helly's Theorem, Menelaus' Theorem, Pasch's Theorem

© 1996-9 Eric W. Weisstein