Ptolemy's Theorem | Proof without Words

Описание: This is a short, animated visual proof demonstrating Ptolemy's Theorem, which is an equality about the lengths of the six lines connecting four points randomly selected around a circle. The proof, without words, uses the scaling of three triangles to obtain the result.

Thanks to my son who helped include the awesome sound effects.

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!

This animation is based on a visual proof by W. Derrick, J. Herstein, Proof Without Words: Ptolemy's Theorem in the November 2012 issue of The College Mathematics Journal: v 43, n 5, November 2012, p 386: https://www.jstor.org/stable/10.4169/...

#math​ #inequality ​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #algebra #areas #mathematics #ptolemy #circletheorem #algebraicidentity #mathshorts​ #mathvideo​ #mtbos #circle #triangles #similartriangles

To learn more about animating with manim, check out:
https://manim.community