Categories
Intermediate

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

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.

Poem

A poem from Howard Nemerov submitted by Bella.
close

🤞 Don’t miss these puzzles!

Subscribe to the weekly geometry puzzle e-mail.

Leave a Reply

Your email address will not be published. Required fields are marked *

Optionally add an image (JPEG only)