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Pascal's Mystic Hexagon
Pascal's Mystic Hexagon
Pascal discovered that if hexagon ABCDEF is inscribed in a conic section, the points of intersection RST of the pairs of opposite chords are collinear. You can generate the conic through points A, B, C, D, E, since F can be derived from an arbitrary line AX through A. Moving X and F traces the conic. Move A, B, C, D, or E to get a new conic that passes through them.