Pythagorean Theorem VIII (Bhāskara's visual proof)

This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) following essentially Bhāskara's proof (Behold!). 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 #manim #pythagoreantheorem #pythagorean #triangle #animation #theorem #pww #proofwithoutwords #visualproof #proof #mathshorts #mathvideo

This animation is based on a proof due to Bhāskara. For a static version of this proof, see Roger Nelsen's first "Proof Without Words: Exercises in Visual Thinking" compendium (page 4). You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 29-32.

Check out Roger's book on Amazon (affiliate link to follow; I may receive a small commission): https://amzn.to/3SjsqEh

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; ...  
   • Pythagorean Theorem VI (visual proof;...  
   • Pythagorean Theorem VII (visual proof)  

To learn more about animating with manim, check out:
https://manim.community
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Music in this video:
Awaiting Return - Atlantean Twilight by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/...
Source: http://incompetech.com/music/royalty-...
Artist: http://incompetech.com/