14755Θέμα: Re: [EMHL] Construction
- Jan 14, 2007Dear Bernard,
> > [ND] How can we construct the two lines[BG]
> > given by the equation in barycentrics:
> > CyclicSum (SA*SA*(SB-SC)xx + 2SB*SC*(SB-SC)yz) = 0
> these are the parallels at H to the asymptotes ofThank you very much.
> the Kiepert hyperbola.
These are the parallels from H to the Simson
lines of the points where the Brocard axis meets
I tried to find for which points P the pedal triangle
of P A'B'C' has vertices equidistant from A,B,C
i.e. AA' = BB' = CC'.
These points must be symmetric wrt H.
I found that these points must be on these lines.
From a sketch it seems to exist only two such points
on one of these lines.
Can we construct these points?
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