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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