# Pascal’s mystic hexagram

If an hexagon $ADBFCE$ (not necessarily convex) is inscribed into a conic (in particular into a circle), then the points of intersections of opposite sides ($AD$ with $FC$, $DB$with $CE$ and $BF$ with $EA$) are collinear. This line is called the Pascal line of the hexagon.

A very special case happens when the conic degenerates into two lines, however the theorem still holds although this particular case is usually called Pappus theorem.

Title Pascal’s mystic hexagram PascalsMysticHexagram 2013-03-22 12:10:49 2013-03-22 12:10:49 drini (3) drini (3) 10 drini (3) Theorem msc 51-00 Pascal line Pascal’s theorem PappussTheorem