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Brianchon's theorem : ウィキペディア英語版
Brianchon's theorem

In geometry, Brianchon's theorem is a theorem stating that when a hexagon is circumscribed around a conic section, its principal diagonals (those connecting opposite vertices) meet in a single point. It is named after Charles Julien Brianchon (1783–1864).
==Formal statement==
Let ''ABCDEF'' be a hexagon formed by six tangent lines of a conic section. Then lines ''AD, BE, CF'' (extended diagonals each connecting opposite vertices) intersect at a single point.〔Whitworth, William Allen. ''Trilinear Coordinates and Other Methods of Modern Analytical Geometry of Two Dimensions'', Forgotten Books, 2012 (orig. Deighton, Bell, and Co., 1866). http://www.forgottenbooks.com/search?q=Trilinear+coordinates&t=books〕

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