[EMHL] Re: Center quartets
- --- In Hyacinthos@yahoogroups.com, "jpehrmfr" <Jean-
>No trick questions please, *you* are the math buffs :-)
> Dear Floor and Hauke
> > Your suggestion about the Neuberg cubic is interesting, but not
> correct I
> > think. How does the circumcenter fit in this???
> And what about the incenter or X(399)?
Trying to weasel me out of this one. As I said, the
Neuberg cubic may be written as symmetric function
of a flock of tangents. It can happen that the function
factors to hell for certain special points D.
Another formulation: Like the circle, the Neuberg cubic
is defined by 3 points. An ellipse with eccentricity
e=0.5 is defined by 4 points. Let the 4 points lie on
a square. Oopsie! 2 solutions!
Thus: *Almost* every point on the Neuberg cubic has the QP,
#1 and #3 are "too special", of #399 I frankly don't know
and the computation is rather lengthy. But when Darij
said so... :-)