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The 'Heronian mean' of two non-negative real numbers $A$ and $B$ is given by $(A\; +\; sqrt\{A\; B\}\; +B)/3$.
The volume of a frustum of a pyramid (or cone) is found by multiplying the height of the frustum by the Heronian mean of the areas of the opposing parallel faces.
The Heronian mean can be generalised such that it can also be applied to more than two variables:
:
See also: mean.

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★ Mean-Trapezoids Geometric comparison of some mathematical means