Uploads from Mathematical Visual Proofs

Currently Playing: AM-GM Visual Proof VII

AM-GM Visual Proof VII This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using areas of squares with square root side lengths and rearranging areas. This animation is based on a visual proof from Alfinio Flores that appeared in the March 2000 issue of The College Mathematics Journal (vol 31, no 2 p106) https://www.jstor.org/stable/2687579 f you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! For other visual proofs of this fact see: https://youtu.be/Pt8IX_Q5U1A https://youtu.be/62G9fak1vyk https://youtu.be/HFGSsPbYc-s https://youtu.be/SEPkdPWKdO0 https://youtu.be/jNx05gXSblE https://youtu.be/IJGwvvQdfgg ​#math​ #amgminequality​ #manim​#proofwithoutwords​ #visualproof​ To learn more about animating with manim, check out: https://manim.community