Pythagorean Theorem V (visual proof; Leonardo da Vinci)

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This is a short, animated visual proof of the Pythagorean theorem (the right triangle theorem) using the a diagram that is now attributed to Leonardo da Vinci. The proof uses reflection and rotation symmetry arguments. 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. #mathshorts #mathvideo #math #pythagoreantheorem #pythagorean #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #leonardodavinci #davinci

01:30 I said something incorrect so made a small cut. I meant to say the two hexagons are made from congruent parts.

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For other proofs of this same fact check out:

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01:30 I said something incorrect so made a small cut. I meant to say the two hexagons have congruent parts but said that the hexagons are congruent (which they are not).

MathVisualProofs
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There is the Cut The Knot list that was linked on r/math in 2010.

Inspirator_AG
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I think this is my new favourite proof

welcomeblack
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Thanks! Nice proof and also nice to know who came up with it originally.

DitDede