We first consider the two different ways we can construct two circles.

We now show the thirteen possible different ways to add a third circle.

None of these trisect the segment, so three circles alone is not enough. Nor would adding any line through two of their intersection points produce a trisection, so three circles and one additional line is not enough.

Return to Four Circles Trisection Page

Villanova Home Page Math Dept Home Page 8 Feb 2001