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Geometry Problem 826: Brianchon's Theorem, Circumscribed Hexagon, Concurrent Diagonals

The diagonals of a hexagon ABCDEF circumscribing a conic (particular a circle) are concurrent at G.
Charles Brianchon (1783-1864) was a French mathematician and chemist. He entered into the École Polytechnique in 1804 at the age of eighteen, and studied under Monge, graduating first in his class in 1808, after which he took up a career as a lieutenant in Napoleon's artillery.


Problem 826: Brianchon's theorem, circumscribed hexagon


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