The gyroscope

Two ellipses go through each others focal points. Prove that the focal points are the vertices of a parallelogram.

Scroll down for a solution to this problem.


Solution by ricardpe.

It must be noted that there exists a non-parallelogram solution that also fits the conditions:

Non-parallelogram solution by arryl Nester.


A poem from Howard Nemerov submitted by Bella.

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