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

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

MSC Codes: 
97G40
Author(s): 
Sidney H. Kung
Publication Date: 
Friday, April 5, 2013
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
January, 2010
Subject(s): 
Geometry and Topology
Geometric Proof
Topic(s): 
Linear Inequalities
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Publish Page: 
Furnished by JSTOR: 
File Content: 
Applicable Course(s): 
4.1 Introduction to Proofs
4.9 Geometry
Modify Date: 
Friday, April 5, 2013
Average: 2.7 (16 votes)

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