Squaring the Circle with the Archimedean Spiral (animated visual proof)
This is a short, animated visual proof that we can square the circle IF we use the Archimedean spiral. Unfortunately, this is not a solution to the squaring the circle problem from antiquity because that requires it to be done with only a straightedge and compass. #mathshorts #mathvideo #math ##geometry #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #circle #mathematics #thales #squaringthecircle #squaringtherectangle
This animation is based on a visual proof from Roger Nelsen's and Claudi Alsina's wonderul book "Charming Proofs: A Journey into Elegant Mathematics" (Theorem 9.5 from page 145). You can find the book and other information about it at the links below
https://bookstore.ams.org/dol-42/
https://www.maa.org/press/maa-reviews...
https://www.amazon.com/Charming-Proof...
Here is another video that squares the circle with a nonclassical technique: • Squaring the Circle by Rolling (anima...
To learn more about animating with manim, check out:
https://manim.community
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