Path: utzoo!utgpu!watmath!watcgl!jdchrist
From: jdchrist@watcgl.waterloo.edu (Dan Christensen)
Newsgroups: comp.graphics
Subject: Re: Tangents to Three Circles
Message-ID: <10974@watcgl.waterloo.edu>
Date: 9 Aug 89 21:10:25 GMT
References: <859@mrsvr.UUCP>  <4630@eos.UUCP>
Reply-To: jdchrist@watcgl.waterloo.edu (Dan Christensen)
Organization: Computer Graphics Lab, University of Waterloo
Lines: 16

In article <4630@eos.UUCP> jbm@eos.UUCP (Jeffrey Mulligan) writes:
>
>Good counterexample.  If you accept the following lemma,
>I think it is obvious that there is no solution for the case
>of 3 concentric circles:
>
>Lemma:  If circle A is tangent to circle B at point T, the the
>points of A excluding T must lie either entirely inside, or entirely
>outside, of circle B.

I think you have to add the restriction that A and B are distinct
circles for this to be true.

----
Dan Christensen, Computer Graphics Lab,	         jdchrist@watcgl.uwaterloo.ca
University of Waterloo, Waterloo, Ont.	         jdchrist@watcgl.waterloo.edu