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Heronian Mean


The Heronian mean of two numbers a and b is defined as

HM(a,b)=1/3(2A+G)
(1)
=1/3(a+sqrt(ab)+b),
(2)

where A is the arithmetic mean and G the geometric mean. It arises in the determination of the volume of a pyramidal frustum.


See also

Arithmetic Mean, Geometric Mean, Pyramidal Frustum

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References

Eves, H. A Survey of Geometry, rev. ed. Boston, MA: Allyn & Bacon, p. 7, 1965.

Referenced on Wolfram|Alpha

Heronian Mean

Cite this as:

Weisstein, Eric W. "Heronian Mean." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HeronianMean.html

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