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Pascal's theorem states that if an arbitrary hexagon is inscribed in any conic section, and opposite pairs of sides are extended until they meet, the three intersection points will lie on a straight line, the Pascal line of that configuration.This theorem is a generalization of Pappus's hexagon theorem , and the projective dual of Brianchon's theorem . It was discovered by Blaise Pascal when he was only 16 years old.
The theorem was generalized by Möbius in 1847, as follows: suppose a polygon with sides is inscribed in a conic section, and opposite pairs of sides are extended until they meet in points. Then if of those points lie on a common line, the last point will be on that line, too.
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