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Pappuss Theorem
Let 
be points
on a line
(not necessarily in that order) and let 
points on another line (not necessarily in that order). Then the intersection
points of 
with 
, 
with 
and 
with 
are collinear.
This is a special case of Pascal's mystic hexagram.
![\includegraphics[scale=2.0]{pappus}](http://myyn.org/static/assets/mathbrowser/article/2759/images/img9.png)