Reimagined Euclid’s Proof of the Pythagorean Theorem 🧮

This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Euclid's proof. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths.

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!

For a longer version of this video with a bonus dissection proof based on this proof, see
https://youtu.be/g3C3hs8_nzU

You can also see other Pythagorean theorem proofs here:
https://youtu.be/o2mbN452ywA (compilation)
https://youtu.be/XFHm0Ot3PP0
https://youtu.be/q28H5NY5UVU
https://youtu.be/yfGtbNgcrQ8
https://youtu.be/JRjPsuJ7S-g
https://youtu.be/TsKTteGJpZU
https://youtu.be/ZlGaQdNRdqA
https://youtu.be/uqGjs_n-f7U
https://youtu.be/wWEZ-rUlBDQ
https://youtu.be/I75HYC8TRNY
https://youtu.be/LWVog8hg74I?si=4GSzTLZP7XIWeaxJ

or check out my Pythagorean theorem playlist:

https://www.youtube.com/playlist?list=PLZh9gzIvXQUvlRlnYryejWGHYQquM92rB

This animation is based on a proof due to Euclid. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 5) : https://bookstore.ams.org/clrm-1. You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 31-33.

(I may receive a small commission at no cost to you for these affiliate links):

https://amzn.to/48mjeX1
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#math #pythagoreantheorem #pythagorean #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo

To learn more about animating with manim, check out:
https://manim.community