Topic summary
Pythagorean mean

Extracted from the Wikipedia article Pythagorean means.
In mathematics, the three classical Pythagorean means are the arithmetic mean (AM), the geometric mean (GM), and the harmonic mean (HM). These means were studied with proportions by Pythagoreans and later generations of Greek mathematicians because of their importance in geometry and music. They can now be regarded as special cases of a family of functions appropriately called the generalized means.