- Imagine a circle, with four points on it forming a rectangle.
- Twisting and bending this circle along those four points, any curve can be produced. $\blacksquare$
Is this a proof of the Inscribed Rectangle Theorem? I thought this up the other day and it seems fine to me.
If this is actually a proof, then isn't it possible that the four original points could be forming a square? Wouldn't it prove the Inscribed Square problem too?