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...
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https://manim.community
Watch video Squaring the Circle with the Archimedean Spiral (animated visual proof) online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 29 October 2021, don't forget to share it with your friends and acquaintances, it has been viewed on our site 15,125 once and liked it 458 people.