Geometry/Neutral Geometry/Pasch and Crossbar
< Geometry | Neutral Geometry
Pasch's Theorem edit
If A, B, C are distinct noncollinear points and l is any line intersecting AB in a point between A and B, then l also intersectseither AC or BC. If C does not lie on l, then l does not intersect both AC and BC
Explanation edit
Crossbar Theorem edit
If ray AD (need LaTex formatting) is between ray AC(need LaTex formatting) and ray AB(need LaTex formatting), then ray AD(need LaTex formatting) intersects segment BC