[obm-l] Floor's Monthly problem

["Luis Lopes" <llopes@xxxxxxxxxxxxx>]

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: Hyacinthos@yahoogroups.com
>To: Hyacinthos@yahoogroups.com
>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.


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