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In mathematics, the Heronian mean H of two non-negative real numbers A and B is given by the formula:
Contents
It is named after Hero of Alexandria.
Application in solid geometry
The Heronian mean may be used in finding the volume of a frustum of a pyramid or cone. The volume is equal to the product of the height of the frustum and the Heronian mean of the areas of the opposing parallel faces.
Relation to other means
The Heronian mean of the numbers A and B is a weighted mean of their arithmetic and geometric means:
References
Heronian mean Wikipedia(Text) CC BY-SA