19140Re: [EMHL] Re: Harmonic Conic
- Jul 29, 2010I just remember the Faure theorem.
A triangle ABC is autopolar wrt the conic Gamma iff the ABC-circumcircle is
orthogonal to the orthoptic circle of Gamma.
On Fri, Jul 2, 2010 at 8:15 PM, Barry Wolk <wolkbarry@...> wrote:
> > From: jpehrmfr <jean-pierre.ehrmann@...<jean-pierre.ehrmann%40wanadoo.fr>
> > Dear Barry
> > [Barry Wolk]
> > > Some computation shows that for any circle that meets
> > the 2 sides AB and AC harmonically, its center lies on the
> > perpendicular bisector of BC.
> > I don't agree with you. Your circles are member of the
> > pencil with Poncelet points (circles with radius 0) A and
> > the projection of A upon BC.
> > Friendly. Jean-Pierre
> I finally realized that I used an incorrect formula for harmonic
> conjugates, namely (BP/PC)*(BQ/QC)=-1, instead of the correct
> (BP/PC)/(BQ/QC)=-1 when P,Q are harmonic conjugates wrt B,C. So my results
> apply to this strange kind of "conjugates," but not to harmonics.
> Barry Wolk
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