What is most interesting about the following geometric proof is that it uses a shearing transform. This transform exploits the fact that a parallelogram of equal height and length has equal area. This gives it a fluid pouring aspect.

Categories: Math

## 2 Comments

## Fudgy McFarlen · March 20, 2016 at 11:08 am

Good idea. I'll try that soon!

https://en.wikipedia.org/wiki/De_Gua%27s_theorem

## Is there a dissection proof of the Pythagorean Theorem for tetrahedra? - MathHub · March 18, 2016 at 1:27 pm

[…] example, it would certainly be interesting to have a proof of De Gua’s Theorem that involves shearing in four […]