Here's the second message. R. ---------- Forwarded message ---------- Date: Fri, 9 Sep 2011 15:23:28 +0100 From: "Moses, Peter J. C." <mows@mopar.freeserve.co.uk> To: Richard Guy <rkg@cpsc.ucalgary.ca> Subject: Re: Incircles problem Hi Richard,  

6.  If we apply Conway's extraversion to the problem, are  there any selections of six excentres which lie on a conic? Well,in the case of the Fermat point, yes. (See attached)  Have not looked at any others.   Do you have The Geometer's Sketchpad ?   Best regards, Peter.     ----- Original Message ----- From: "Richard Guy" <rkg@cpsc.ucalgary.ca> To: "math-fun" <math-fun@mailman.xmission.com> Cc: "Julian Salazar" <julian.salazar@shaw.ca> Sent: Thursday, September 08, 2011 9:43 PM

Dear all,           Panic over!  Stanley Rabinowitz has used Geometer's sketch pad (see attached) to show that the statement is not true!  Sorry to have bothered you with it.     R.