(In reply to
re: Solution (Nice) by Jer)
I remember it being an identity from geometry, albeit an advanced one. It holds for circles, and transforming a circle into an ellipse does not affect the midpoints of the segments, so the center can be found the same way.
I have seen an algebraic proof of this, for a hyperbola, a parabola, and an ellipse. I can't recall it, though I do know it's true. You might be able to prove it by trial and error given an ellipse with a known center.
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Posted by Eric
on 2004-12-21 19:59:41 |