Consider the ellipse defined by the equation
.
Suppose that a triangle is circumscribed about the ellipse so that one
of its sides is tangent to the ellipse at the point a fixed point
(*p*,*q*).
Find the triangle
of this form with smallest area. How does the area of the triangle you
found depend on the fixed point (*p*,*q*)? Can you explain your observation?

Mon Apr 21 13:11:40 EDT 1997