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Pascal's Theorem

© Copyright 2003, Jim Loy

Here we have an irregular hexagon inscribed in a circle. Pascal's theorem says that if the opposite sides are extented to their points of intersection, these three points lie in a straight line. Actually, Pascal's theorem is more general than that, as the hexagon can be inscribed in any Conic Section. Move the large red points to move the lines:

Please enable Java for an interactive construction (with Cinderella).

The above Java interactive demonstration was created with Cinderella (a geometry program).


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