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Plane Geometry: Harmonic Mean in Geometry. Visual Summary

In geometry, the harmonic mean is used to find a point on a line segment that divides it into two parts in a specific ratio. This technique is known as harmonic division and is based on the properties of a harmonic progression, which is a sequence of numbers that has a certain relationship between its terms.

The harmonic mean is calculated by taking the reciprocal of each number in a set, finding the arithmetic mean of those reciprocals, and then taking the reciprocal of that result. In the context of geometric constructions, the harmonic mean can be used to solve various problems involving the division of line segments, the construction of circles and ellipses, and other applications.

Harmonic Mean in Geometry. Visual Summary


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Last updated: Feb 23, 2023 by Antonio Gutierrez