12550Re: [EMHL] Looking for an explanation
- Apr 1, 2006Dear Bernard
> THEY DO, dear Jean-Pierre !Of course, you're right - in fact I was thinking to your points UVW -
Looking at your nice page about Darboux, I have an obvious explanation
of the nice property of the pedal triangle of U,V,W.
Suppose that A'B'C' is the pedal triangle of M; then BB' and CC' are
parallel iff M lies on your hyperbola Ha.
As U,V,W are the common points of Ha,Hb,Hc, for these points, AA',
BB', CC' are parallel.
Thus, there is nothing new in what I said.
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