[obm-l] FW: [EMHL] the MacBeath ellipse

[Luís Lopes <qed_texte@xxxxxxxxxxx>]

Sauda,c~oes,

Oi Claudio e Wagner,

Na página

>In :
>http://www.personal.us.es/rbarroso/ellipsefocusOHtangent.htm
>
>there is a link to the pdf of the FGM

o link mostra um arquivo pdf com mais uma solução para o
problema de construir um quad. inscritível.

Para os que querem ver logo a solução, ela se encontra
na 3a. página do FIM para o começo.

[]'s
Luís


>From: Ricardo Barroso
>Reply-To: Hyacinthos@yahoogroups.com
>To: Hyacinthos@yahoogroups.com
>Subject: [EMHL] the MacBeath ellipse
>Date: Thu, 18 Nov 2004 11:24:58 +0100 (CET)
>
>
>Dear Nikolaos and friends:
>
>In FGM problem 130, it is the ellipse of centers H and O
>tangent to sides of triangle one talks about Paul Serret
>1865, to M.E. Lemoine 1858 and Picquet 1866.
>
>
>
>University of Michigan Historical Math Collection
>
>Exercices de géométrie, comprenant l'esposé des méthodes
>géométriques et 2000 questions résolues par F. G.-M.  ---
>Frère Gabriel Marie, 1820-1891.
>5. ed.:  3 p. L., [iii]-xxiv, 1302 p. diagrs. 22 cm.
>Tours,
>A. Mame et fils; [etc., etc.]
>1912.
>
>In :
>http://www.personal.us.es/rbarroso/ellipsefocusOHtangent.htm
>
>there is a link to the pdf of the FGM
>
>Greetings
>
>Ricardo
>  --- ndergiades <ndergiades@yahoo.gr> escribió:
> >
> > Dear friends,
> >
> > > "The only Kimberling center lying on the MacBeath
> > inconic is  X
> > (339)
> > > (Weisstein, Oct. 16, 2004)."
> >
> > see also at
> > http://pages.infinit.net/spqrsncf/ngorecent.htm#L2I-11
> >
> > but I think that this inconic is known in F.G-M fifth
> > edition
> > problem §130. In my Greek translation there is no
> > reference
> > but in the French edition 5 or 8 there is the reference
> > that
> > this conic is due to Paul Seret N.A. 1865 p. 428.
> >
> > Best regards
> > Nikolaos Dergiades
> >


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