AM-GM Inequality via negative space

Опубликовано: 14 Август 2024
на канале: Mathematical Visual Proofs

44,166

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This is a short, animated visual proof demonstrating the arithmetic mean geometric mean inequality using algebraic areas and the Side-Angle-Side formula for a parallelogram.

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!

For other visual proofs of this fact see:

   • AM-GM Inequality II (visual proof)
   • Visual Proof of AM-GM Inequality I
   • Mean Inequalities (visual proof of AM...

For a nearly identical visual proof of another inequality (Cauchy-Schwarz) see
   • Cauchy Bunyakovsky Schwarz Inequality...

This animation is based on a visual proof that appears in Icons of Mathematics by Claudi Alsina and Roger B. Nelsen (MAA, 2011):

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To learn more about animating with manim, check out:
https://manim.community

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