The Pythagorean means are the three "classic" means (the arithmetic mean), (the geometric mean), and (the harmonic mean) are sometimes known as the Pythagorean means. The figure above shows how these means on two elements and could be constructed geometrically, and also demonstrates that .
Pythagorean Means
See also
Arithmetic Mean, Geometric Mean, Harmonic Mean, MeanThis 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 MeansCite this as:
Cantrell, David W. "Pythagorean Means." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/PythagoreanMeans.html