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Consider the ellipse defined by the equation tex2html_wrap_inline15. 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?

Juris Steprans
Mon Apr 21 13:11:40 EDT 1997