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12097Re: Another perspector?

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  • Juan Carlos Salazar
    Feb 3, 2006
    • 0 Attachment
      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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