Sauda,c~oes, Mais um site de IMO.
http://www.math.ust.hk/excalibur/vol_6_no_1.pdf []'s Luis >From: "fvlamoenwxs" >Reply-To: [EMAIL PROTECTED] >To: [EMAIL PROTECTED] >Subject: [EMHL] Re: Floor's Monthly problem >Date: Wed, 15 May 2002 11:25:57 -0000 > >Dear Hyacinthists, > > > Show that the circumcenters of the 6 triangles, into which a >triangle is divided by > > its medians, are concyclic. > > > > The editors give a nice synthetic proof about which I have a >question. > >Let me start by saying that I have not actually read the solution >published in AMM (If someone can send me text (or scan) I would be >pleased). When I submitted the proof, I included a synthetic proof. I >understand from Alexander that it has the same problem in reasoning, >so when I have a little bit more time, I will look again and see if I >can reproduce the exact reason why I concluded the proof was complete. > >Meanwhile, you can read a slightly different approach (published in >fact prematurely) in the Hong-Kong based journal "Excalibur": > >http://www.math.ust.hk/excalibur/vol_6_no_1.pdf > >Kind regards, >Sincerely, >Floor. ========================================================================= Instruções para entrar na lista, sair da lista e usar a lista em http://www.mat.puc-rio.br/~nicolau/olimp/obm-l.html O administrador desta lista é <[EMAIL PROTECTED]> =========================================================================