Unhinged or Hinged Proof of the Pythagorean Theorem? (visual proof IX) @MathVisualProofs

Uploaded June 2025 | Updated September 2026, 2 weeks ago

This is a short visual proof of the Pythagorean theorem using swinging hinges.

If you like this video, consider subscribing to the channel or consider buying me a coffee: buymeacoffee.com/VisualProofs. Thanks!

Here is a playlist with all my videos that prove or feature the Pythagorean theorem: youtube.com/playlist?list=PLZh9gzIvXQUvlRlnYryejWGHYQquM92rB

This animation is based on Proof 2 in Bogomolny's site cut the knot: cut-the-knot.org/pythagoras/. Check that link for more about the history of this proof.

In my last video (linked here: youtu.be/hVPu1mnSjpM ), I showed essentially how to create the animation in this video

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

To learn more about animating with manim, check out:
https://manim.community

Unhinged or Hinged Proof of the Pythagorean Theorem? (visual proof IX)

$Self-Similar Geometric Sum in a Square: Adding Powers of 1/2 Visually! This is a short, animated visual proof demonstrating the infinite sum of the powers of 1/2 using a square. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! If you like this type of video, here is my geometric sum playlist: https://www.youtube.com/playlist?list=PLZh9gzIvXQUsgw8W5TUVDtF0q4jEJ3iaw This dissection is loosely based on a proof by Roger B. Nelsen from the February 2006 issue of Mathematics Magazine page 60. (https://doi.org/10.2307/27642904). An animated version of that exact dissection is here: https://youtube.com/shorts/RoovN01q83Y or https://youtu.be/saJJGNlsfn8 #mathematics #mathvideo #math #calculus #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #geometricseries #series #infinitesums #infiniteseries #selfsimilarity #fractal To learn more about animating with manim, check out: https://manim.community$

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