Last modified on 19 June 2009, at 09:38

Geometry/Neutral Geometry/Pasch and Crossbar

Pasch's TheoremEdit

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

ExplanationEdit

Crossbar TheoremEdit

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

ExplanationEdit