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Currently Playing: AM-GM from 8 Triangles

AM-GM from 8 Triangles This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using 8 triangles arranged in a famous shape for visual proofs. This animation is based on a visual proof from Ayoub B. Ayoub that appeared in the Spring 1997 issue of Mathematics and Computer Education (vol 31, no 2 p191). 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 #mathshorts​ #mathvideo​ #math​ #amgminequality #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #inequality #arithmeticmean #geometricmean To learn more about animating with manim, check out: https://manim.community


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