Given an arbitrary ellipse (not a circle) without a marked center or foci. Using a straightedge and compass construct the major and minor axes.

(In reply to Solution by Bob)

My hat is off to you Eric.  Nice solution.

Mine is way too complicated and probably wrong.

I'm now trying to prove your parallel-chords-bisector segments pass through the center of the circle.  I think I can use analytic geometry.

-Jer

Posted by Jer on 2004-12-21 18:23:40