Something You Didn't Know About The Pythagorean Theorem

A neat connection with higher mathematics in geometry and topology you didn't know with the Pythagorean theorem. One of its proofs has a connection with the square peg problem as presented by Terence Tao.
The "upcoming" book on geometry will still take awhile. But with your support the time line can be reduced.
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(The book contains the "rolling rectangle" and the "caterpillar" Desmos programs.)

Resources
[1]    • Terence Tao: An integration approach ...  
[2] https://www.ams.org/notices/201404/rn...
[3] https://arxiv.org/abs/1611.07441
[4] https://arxiv.org/pdf/2103.13848

Timestamps
0:00 - Intro
1:35 - Alternate Proof
2:48 - Is It Really a Square?
3:56 - Square Peg Problem
4:57 - How-to
5:51 - Exotic Curves
7:10 - Impossible Equations
9:14 - Little Theorem
9:47 - Outro

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"Prioritize long-term learning over short-term test-taking."
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