"John Zinni" wrote in message
...

I believe that any purely geometric treatment of the problem must,
necessarily, be just an approximation. The error associated with the
approximation can be made to be as small as we like, but when we start to
do
this we are getting close to the realm were The Calculus steps into the
picture.

Do you mean a geometric treatment of this particular problem,
or do you mean that geometric proofs, in general, are necessarily
approximations?