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.

For other proofs of this same fact check out:

To learn more about animating with manim, check out:
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Music in this video:

[mathflipped]

Cool proof, I've never seen it before.

[Inspirator_AG]

Cut the Knot has a page with tens of proofs. A page I initially discovered through the URL on a 2010 R/math post.

[iquemedia]

cool video! y'all are gonna do well

[ojas]

👍 Loomis' book on Pythagoras theorem lists over 30 different proofs
You could take outer square of side a+b and cyclically where a meets b join the adjacent one to get c
This proof relies on (a + b)² = a² + b² + 4(½ab)

[Iugeer]

how does changing your point of view create those squares

[tuankumiskotak]

Pythagoras lore, someone need to add cruel angel theme

[星苒-rs]

Very interesting video. Can you share your code，i'm learning manim.

[PTGaonkar]

There are soo meny unexplored work which is from ancient India... All west science is built upon Indian science and they built on that (like Newton Einstein etc..) All ancient Greek mathematicians and physicists are just translators of Indian knowledge...