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This short animated proof demonstrates the two variable mean inequalities for the arithmetic mean, geometric mean, harmonic mean and root mean square (or quadratic mean). #math #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #inequality #iteachmath #mathematics #pythagoreantheorem #similartriangles #means #meaninequality #mathshorts #mathvideo #mtbos
This animation of the inequalities is based on a visual proof by Roger Nelsen from the June 1987 issue of Mathematics Magazine (www.jstor.org/...) p. 158.
If you like visual proofs of inequalities, see these links:
AM-GM inequality via rectangles/squares: • Visual Proof of AM-GM ...
AM-GM inequality via circles: • AM-GM Inequality II (v...
AM-GM-HM-QM via Moments: • Mean Inequalities via ...
To learn more about animating with manim, check out:
manim.community