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
Canonical name	PascalsMysticHexagram
Date of creation	2013-03-22 12:10:49
Last modified on	2013-03-22 12:10:49
Owner	drini (3)
Last modified by	drini (3)
Numerical id	10
Author	drini (3)
Entry type	Theorem
Classification	msc 51-00
Synonym	Pascal line
Synonym	Pascal’s theorem
Related topic	PappussTheorem