Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Constructing the Harmonic Mean 2

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 second construction of the harmonic mean .

[more]

Draw perpendicular line segments and . Let the point be the intersection of the segment with the bisector of the angle . Let be the orthogonal projection of of the segment , and let be symmetric to with respect to . Then . Define . From the similarity of triangles and and the angle bisector property, we have , .

[less]

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

Details

Snapshots

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
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.
Send