This video describes a relatively new visual proof of two different Machin-like formulas for Pi (or for Pi/4 more accurately), which is a formula that allows for relatively speedy computation of the digits of Pi. These two formulas are called Hutton's formula and Strassnitzky's formula although at least Hutton's was likely known to Machin.
If you like this video, consider subscribing to the channel or consider buying me a coffee: [ Ссылка ]. Thanks!
#mathvideo math #pi #piday #geometry #inscribed #circumscribed #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #similartriangles #mathvideo #machinformula #machintheorem #digitsofpi #trapezoid
This animation is based on a proof due to Roger Nelsen from the December 2013 issue of Mathematics Magazine ([ Ссылка ] page 350).
Here are three more Pi day gems:
[ Ссылка ]
[ Ссылка ]
[ Ссылка ]
To learn more about animating with manim, check out:
[ Ссылка ]
____________________________________________________
Background music:
Frozen in Love by Aakash Gandhi
