## 12097Re: Another perspector?

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• Feb 3, 2006
Dear Francois:
I am sorry by my statement, clarifying the circle that touches BC
at X is a circle that is on the same side that the excircles (I_b)
and (I_c). Similarly to another two circles.Then P is not Nagel's
point.
Sincerely
Juan carlos

--- In Hyacinthos@yahoogroups.com, Francois Rideau
<francois.rideau@...> wrote:
>
> Dear Juan
> ABC and XYZ have N the Nagel point as perspector .
> ABC and UVW have H the othocenter of ABC as perspector. So XYZ and
UVW are
> perspective with perspector P on line HN.
> I think P = X(n) is in ETC for some standard integer
> Friendly
> François
>
> On 2/3/06, Francois Rideau <francois.rideau@...> wrote:
> >
> > Dear Juan
> > Sorry, I mix ABC and XYZ for I just wake up!
> > François
> >
> > On 2/3/06, Francois Rideau <francois.rideau@...> wrote:
> > >
> > > Dear Juan
> > > P is the orthocenter of ABC.
> > > ABC and UVW are perspective and orthologic and so one...
> > > Friendly
> > > François
> > >
> > > On 2/2/06, Juan Carlos Salazar < caiser@...> wrote:
> > > >
> > > > Dear friends:
> > > > Let X be touch point at BC with the extangent circle to
excircles
> > > > (I_b) and (I_c) of ABC triangle. Y and Z are similarly the
touch
> > > > points on AC and AB. If we consider the triangle UVW
performed by the
> > > > polars of vertex of ABC wrt the opposite excircles. Seems
XYZ and UVW
> > > > are perspective at P. Is P in ETC?
> > > > Thanks in advance
> > > > Best regards
> > > > Juan Carlos
> > > >
> > > >
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> > > > Yahoo! Groups Links
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> [Non-text portions of this message have been removed]
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