Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Starting with a plane parallel to the cone's base (defining a circle with center O), the plane is rotated by φ degrees around one axis that contains the center of the original circle (that is, around a diameter). In the resulting ellipse, how can we calculate this "original center" O, in relation to the ellipse's parameters (center, foci etc) and the angle φ?

share|improve this question
You've seen the Dandelin construction, by any chance? –  Guess who it is. Aug 7 '12 at 0:09
I've seen it as I was searching for an answer, although I cannot immediately see how it can be used. If the top sphere is held constant as the other varies, the ellipse will not contain the O point. –  derio Aug 7 '12 at 8:10

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.