Constructing the Harmonic Mean 1

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

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



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.