proofs of Pascal's Hexagon Theorem



Hi all,

I'm much taken by Pascal's Hexagon Theorem, sometimes called the Mystic
Hexagon theorem. The only proof I've been able to find, though, is the
one using Menelaus' theorem. Does anyone know of any others? What I
would like most of all would be a mechanical proof, say, place a weight
of this much here and that much there, then the center of mass is this,
etc. I haven't been able to work one out, tho. Does anyone know of one?

greg

.