Date: Dec 28, 1995 4:32 PM
Author: Michael Keyton
Subject: Re: six circles
It can be found in Evelyn, Money-Coutts, and Tyrrell: The Seven Circles
Theorem and Other New Theorems (London, 1974)
Without proof it is mentioned in David Wells, Penquin Dictionary of
Curious and Interesting Geometry
On Thu, 28 Dec 1995, Mike de Villiers wrote:
> Recently I came across the following interesting result in a Dutch math
> journal. Does anyone have or know of a synthetic or transformation
> geometry proof for this "six circles" theorem?
> Triangle PQR is given. Circle A is drawn tangent to sides PQ and QR.
> Circle B is tangent to Circle A and to the two sides QR and RP, Circle C
> is tangent to Circle B and to sides RP and PQ, etc. Then the sixth circle
> F is tangent to Circle A.
> Michael de Villiers
> Univ Durban-Westville
> South Africa