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, Mean
*This entry contributed by David
W. Cantrell*

## Explore with Wolfram|Alpha

## 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