Pythagorean Theorem V (visual proof; Leonardo da Vinci)

Video Description

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. If you liked this video, please consider subscribing to the channel and checking out my other videos. This animation is based on a proof due to Leonardo da Vinci. For a static version of this proof, see Roger Nelsen's first "Proof Without Words II: More Exercises in Visual Thinking" compendium (page 5) : https://bookstore.ams.org/clrm-14/. You can also check out Howard Eves' "Great Moments in Mathematics (Before 1650)" page 29--31 and Roger Nelsen's book "Math Made Visual: Creating Images for Understanding Mathematics" : https://bookstore.ams.org/clrm-28. For other proofs of this same fact check out: https://youtu.be/q28H5NY5UVU https://youtu.be/yfGtbNgcrQ8 https://youtu.be/JRjPsuJ7S-g https://youtu.be/TsKTteGJpZU To learn more about animating with manim, check out: https://manim.community ___________________________________ Music in this video: Tranquil Fields (Tense) 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/by/4.0/