This is a short, animated visual proof showing that the area of a square inscribed in a circle is equal to the area of the four lunes created by drawing semicircles off of the sides of the square. #manim #math #mathvideo #mathshorts #geometry #animation #theorem #pww #proofwithoutwords #visualproof #proof #area #root3 #pww #proofwithoutwords #proof #algebra #areas #mathematics #mathvideo #mtbos
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This animation is based on a proof by Eugene A. Margerum and Michael M. McDonnell from the December 1997 issues of Mathematics Magazine (doi.org/10.230... ) page 380. The letter to the editor in the June 1998 issue of the same journal pointed out that Hippocrates of Chios proved this in the 5th century BC E(www.jstor.org/... ) page 224.
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Music in this video:
Cambodian Odyssey by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. creativecommon...
Source: incompetech.com...
Artist: incompetech.com/
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