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Pythagorean Means


PythagoreanMeans

The Pythagorean means are the three "classic" means A (the arithmetic mean), G (the geometric mean), and H (the harmonic mean) are sometimes known as the Pythagorean means. The figure above shows how these means on two elements a and b could be constructed geometrically, and also demonstrates that H<=G<=A.


See also

Arithmetic Mean, Geometric Mean, Harmonic Mean, Mean

This entry contributed by David W. Cantrell

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References

Eves, H. "Means Appearing in Geometric Figures." Math. Mag. 76, 292-294, 2003.Havil, J. Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, p. 120, 2003.

Referenced on Wolfram|Alpha

Pythagorean Means

Cite this as:

Cantrell, David W. "Pythagorean Means." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/PythagoreanMeans.html

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