Pascal's Theorem

Mon, 01 Jan 0001 00:00:00 +0000

Pascal’s Theorem #

Pascal’s theorem (Blaise Pascal, 1640 — the hexagrammum mysticum) states:

If six points lie on a conic, then the three pairs of opposite sides of the hexagon they form meet in three collinear points. The line containing them is the Pascal line.

It is the projective generalization of Pappus’s theorem (which is the special case where the conic degenerates into two lines), and it is dual to Brianchon’s theorem.

The Penrose 8-Conic Theorem on The Wonderful World of Organic Geometry

Pascal's Theorem

Pascal’s Theorem #