Brianchon's Theorem
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This theorem requires a proof..
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Theorem
Let tangents to $6$ points on a conic section $K$ form a hexagon $H$ to circumscribe the $K$.
Then the main diagonals of $H$ meet at a single point.
Proof
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Also see
Source of Name
This entry was named for Charles Julien Brianchon.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $6$
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): Entry: Brianchon's theorem
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $6$
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Entry: Brianchon's theorem
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: Brianchon's theorem