Brianchon theorem
If an hexagon![]()
(not necessarily convex) is inscribed
![]()
into
a conic (in particular into a circle), then the three diagonals
are concurrent
![]()
. This theorem is the dual of Pascal
line
![]()
theorem. (C. Brianchon, 1806)
Proof:It follows by duality.
| Title | Brianchon theorem |
|---|---|
| Canonical name | BrianchonTheorem |
| Date of creation | 2013-03-22 14:04:29 |
| Last modified on | 2013-03-22 14:04:29 |
| Owner | vmoraru (1243) |
| Last modified by | vmoraru (1243) |
| Numerical id | 7 |
| Author | vmoraru (1243) |
| Entry type | Theorem |
| Classification | msc 51-00 |