Caveats
Pasch's axiom is distinct from Pasch's theorem which is a statement about the order of points on a line.
Pasch's axiom should not be confused with the Veblen-Young axiom, which may be stated as:
- If a line intersects two sides of a triangle, then it also intersects the third side.
There is no mention of internal and external intersections in the statement of this axiom which is only concerned with the incidence property of the lines meeting.
Read more about this topic: Pasch's Axiom