There are 60 distinct hexagons that can be drawn with the Primary Points A, B, C, D, E and F. Referring to the figure below and hexagon ABCDEF, edge AB is opposite to edge DE. Edge BC is opposite to edge EF. Edge CD is opposite to edge AF. The opposite edges intersect at 3 points which are collinear. The three intersection points and the line going through the points are shown in the following figure. This line is called the Pascal Line for the hexagon after Blaise Pascal, who discovered his result in 1640 at the age of 16.
Pascal Line for Hexagon ABCDEF
In the above figure you can confirm the theorem for any position of the six Primary Points even when some coincide.
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