Constructing the Harmonic Mean 1

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This Demonstration shows a geometric construction of the harmonic mean of two numbers and . Draw the points , and and the origin . Let be the the point of intersection of the ray from and the vertical line through . Let be the intersection of the segment and the axis. Draw . The similarity of the triangles and implies . The similarity of the triangles and implies . Thus , , , , the harmonic mean of and .

Contributed by: Izidor Hafner (October 2018)
Open content licensed under CC BY-NC-SA


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