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Proof Without Words: Harmonic Mean < Geometric Mean < Arithmetic Mean ...

by Sidney H. Kung

This article originally appeared in:
College Mathematics Journal
January, 2010

Subject classification(s): Geometry and Topology | Geometric Proof
Applicable Course(s): 4.1 Introduction to Proofs | 4.9 Geometry

The author proves visually four chain inequalities among five common means: harmonic, geometric, arithmetic, root square, and contraharmonic.


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Capsule Course Topic(s):
Development Math | Linear Inequalities
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