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Proof without Words: The Harmonic Mean-Geometric Mean-Arithmetic Mean-Root Mean Square Ineqality

by Roger B. Nelsen

This article originally appeared in:
Mathematics Magazine
June, 1987

Subject classification(s): Geometry and Topology | Geometric Proof | Circles
Applicable Course(s): 2.1 College Algebra | 4.1 Introduction to Proofs

The author presents a geometric proof of the inequalities: Harmonic Mean, Geometric Mean, Arithmetic Mean, and Root Meam Square.


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