Begin with the original diagram, add a few auxiliary circles and lines, then note the similar triangles ADF and GDE. Since |AD|=1, |GD|=3, and |GE| =1, we see that |AF| = 1/3.
Elegant! Beautiful! Satisfying!
Return to the 3 circle 2 line construction page
Villanova Home Page Trisection Index of Pages revised 26 Jan 2006