Pythagorean Theorem VI (visual proof; Euclid-inspired proof; 4K)

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. #math #pythagoreantheorem #pythagorean #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo

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.

For other proofs of this same fact check out:
   • Pythagorean Theorem I (visual proof)  
   • Pythagorean Theorem II (visual proof)  
   • Pythagorean Theorem III (visual proof)  
   • Pythagorean Theorem IV (visual proof;...  
   • Pythagorean Theorem V (visual proof; ...  

To learn more about animating with manim, check out:
https://manim.community
_________________________________
Music in this video:
Frozen River by Alexander Nakarada | https://www.serpentsoundstudios.com
Music promoted by https://www.free-stock-music.com
Attribution 4.0 International (CC BY 4.0)
https://creativecommons.org/licenses/...