## *
Circumscribing a triangle on an ellipse
*

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?

## Instructor

Juris Steprans

email address: steprans@mathstat.yorku.ca

Department of Mathematics and Statistics.

Ross 624 South, ext. 33952

York University

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