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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

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Cite this as:

Weisstein, Eric W. "Pasch's Axiom." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PaschsAxiom.html

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