Geometry/Neutral Geometry/Pasch and Crossbar

< Geometry < Neutral Geometry

Pasch's Theorem

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

Crossbar Theorem

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

This article is issued from Wikibooks. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.