Mean Inequalities via Moments #SoME1 #3b1b (visual proof)

This short animated proof demonstrates the two variable mean inequalities by use of moments of mass. #mathshorts​ #mathvideo​ #math​ #inequality #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #mathematics #physics #moments #weight #3b1bsome1 #some1 This animation of the Harmonic Mean/Geometric Mean/Arithmetic Mean/Quadratic Mean inequalities is based on a visual, physical proof by Tom Edgar that will appear in an upcoming issue of Mathematics Magazine. To read a preprint of the article (which contains alternate proofs of the same inequalities using centers of mass), see this link: If you like visual proofs of inequalities, see these links: AM-GM inequality via rectangles/squares: AM-GM inequality via circles: __________________________________________________________________ Intro/concluding music, used according to CC BY-SA 3.0, is “The Road“ from Esteban Orlando: Est