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Brianchon's Theorem

The Dual of Pascal's Theorem. It states that, given a 6-sided Polygon Circumscribed on a Conic Section, the lines joining opposite Vertices (Diagonals) meet in a single point.


See also Duality Principle, Pascal's Theorem


Coxeter, H. S. M. and Greitzer, S. L. Geometry Revisited. Washington, DC: Math. Assoc. Amer., pp. 77-79, 1967.

Ogilvy, C. S. Excursions in Geometry. New York: Dover, p. 110, 1990.

© 1996-9 Eric W. Weisstein