Re: [EMHL] mc points
- Dear Antreas,
> [BG]:there are several such points on the McCay cubic. at most 4 real?, at
> >consider the circumcenters O1 and O2 of the pedal and antipedal
> >triangles of a point P.
> >for which P do O1 and O2 coincide ?
> [APH] Nice problem!!
> If P is real, then it lies on the McCay cubic.
> Now, no one of the simple centers on McCay (ie O,H,I) has
> this property.
> So, we have a new center on the McCay cubic???
least 2 real?
I didn't find a construction for them but I suspect they are only
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- Dear Bernard and Antreas,
[BG]: consider the circumcenters O1 and O2 of the pedal and antipedal
triangles of a point P. For which P do O1 and O2 coincide ?
*** I have a problem related to antipedal triangles.
By calculations, the antipedal triangle of P and the circumcevian
triangle of Q are perspective if and only if O, P, Q are collinear.
Is it possible to give a synthetic proof?