Скачать с ютуб Approximating Pi with Gregory's Theorem (visual proof for Pi day) в хорошем качестве

Approximating Pi with Gregory's Theorem (visual proof for Pi day)

This is an animated visual proof of the Gregory's theorem, which provides a recursive method of finding the areas of the circumscribed 2n-gon and inscribed 2n-gon of a circle given the areas of the inscribed and circumscribed n-gons. As a Pi day treat, we show how to use these formulas to get an approximation of Pi. From just 8 applications of the theorem, we get Pi to be approximately 3.14157. #math #pi #piday #geometry #inscribed #circumscribed #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #circle #ngon #2ngon #similar triangles #mathvideo #gregorytheorem If you enjoyed this video, please consider liking and subscribing. Thanks for watching! This animation is based on a proof due to Tom Edgar and Dave Richeson from the December 2019 issue of Mathematics Magazine (https://doi.org/10.1080/0025570X.2019...) pages 384-386. You can also read more about this at https://divisbyzero.com/2018/09/28/pr.... To learn more about animating with manim, check out: https://manim.community ____________________________________________________ Background music: What We Don’t Say by Scott Buckley |   / scottbuckley   Music promoted by https://www.free-stock-music.com Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/...