This is an animation of a classic visual proof showing how to find the area of a circle by using more and more wedges and arranging them in a rectangle.
#manim #mathshorts #mathvideo #math #geometry #mtbos #animation #theorem #visualproof #proof #iteachmath #mathematics #circle #area #infinite
This proof can be traced to both Satō Moshun and Leonardo da Vinci (see Smith, David Eugene; Mikami, Yoshio (1914), A history of Japanese mathematics, https://archive.org/details/historyof..., page 130132 and Beckmann, Petr (1976), A History of Pi, St. Martin's Griffin, page 19).
You can also read more about this in a great NYT article by Steven Strogatz: https://archive.nytimes.com/opinionat...
To learn more about animating with manim, check out:
https://manim.community
Here is the source code for this animation: https://github.com/TomEdgar/MVPS/blo...
____________________________________
Music in this video:
Epic Adventure Cinematic Music | MOVIE by AlexProductions | https://onsound.eu/
Music promoted by https://www.freestockmusic.com
Creative Commons Attribution 3.0 Unported License
https://creativecommons.org/licenses/...