Algebraic Statement!
Poncelet’s theorem : Let C and D be two ellipses, with C contained in D . Pick a point p0 on C , and draw a tangent to D from p0 , which meets C again at some other point p1 . Repeat this process (picking the “other” tangent from p1 ). Suppose after n repetitions, you return to your starting point, i.e. pn = p0 . What is your Verdict ?
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