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.

Alot of different proofs of Pythagorean theorem.

Categories: Math

2 Comments

Fudgy McFarlen MonsterID Icon 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 […]

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