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Pascal's mystic hexagon




If a hexagon ADBFCE (not necessarily convex) is inscribed in a conic section (in particular 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 special case is when the conic degenerates into two lines; the theorem still holds but is then usually called Pappus' theorem.


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   • GEOMETRY