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