Which is Larger: Four Lunes vs. Inscribed Square (visual proof)

Описание: 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 an exercise from Roger Nelsen's and Claudi Alsina's wonderful book "Icons of Mathematics". You can find the book and other information about it at the links below

(I may receive commissions from this paid link) : Icons of Mathematics from Amazon https://amzn.to/3L5U44S

https://www.maa.org/press/maa-reviews...

https://bookstore.ams.org/dol-56/

To learn more about animating with manim, check out:
https://manim.community
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Music in this video:
Prelude No. 10 by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/...

Source: http://chriszabriskie.com/preludes/

Artist: http://chriszabriskie.com/