Six Circles Theorem (Evelyn)
What is this about?
A Mathematical Droodle


This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.


What if applet does not run?

Explanation

|Activities| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny

The applet is supposed to illustrate the following statement:

In a triangle, any chain of circles that touch their neighbors and successive pairs of sides of the triangle counts at most six circles.

References

  1. Evelyn, C. J. A., Money-Coutts, G. B., Tyrrell, J. A., A Theorem about a Triangle and Six Circles, in The Seven Circles Theorem and Other New Theorems, Stacey International, 1974, pp. 49-58.

|Activities| |Contact| |Front page| |Contents| |Geometry|

Copyright © 1996-2018 Alexander Bogomolny

 63718295

Search by google: