Theorem of Brianchon
The Théorème of Brianchon is stated as follows:
the opposite diagonals uniting the top S of a Hexagone are convergent if and only if this hexagon is circumscribed with a Conique.
This theorem is due to the French mathematician Charles Julien Brianchon.
It is exactly the dual Théorème of Pascal. They are in both cases projective properties conical, properties which one studies without equations, angles nor distances, only with alignments of points and the intersections of right-hand sides, to see projective Traité of conical the.
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