Law of Cosines Visual Proof ๐Ÿงฎ

Animated proof of the Law of Cosines using Thales' theorem and intersecting chords, illustrating the relationship between sides and angles.

Law of Cosines Visual Proof ๐Ÿงฎ
Mathematical Visual Proofs
60.7K views โ€ข Oct 15, 2021
Law of Cosines Visual Proof ๐Ÿงฎ

About this video

This is a short, animated visual proof of the Law of Cosines using Thales triangle theorem and the intersecting chord theorem. This theorem relates the side of a triangle with the other two sides and the angle between those two sides. #mathshorts #mathvideo #math #trigonometry #lawofcosines #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #circle #thalestheorem #intersecting chords

This animation is based on a proof due to Sidney H. Kung from the December 1990 issue of Mathematics Magazine (https://doi.org/10.2307/2690911) page 342.

To learn more about animating with manim, check out:
https://manim.community
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Background music:
The Temperature of the Air on the Bow of the Kaleetan by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/

Source: http://chriszabriskie.com/uvp/

Artist: http://chriszabriskie.com/

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Video Information

Views

60.7K

Likes

2.2K

Duration

2:31

Published

Oct 15, 2021

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4.7
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