Constructing the Harmonic Mean 1

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 .

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