11785Re: More 3D centers
- Dec 3, 2005--- In Hyacinthos@yahoogroups.com, "jpehrmfr" <Jean-
>I prefer to replace "cannot exist" by "does not lie in
> To be more precise, if l = (ua+vb-wc)(-ua+vb+wc)(ua-vb+wc)
> If l>0 then Q,Q' are real and distinct; thus the locus of P is the
> circle above
> If l=0 then Q=Q' and the locus of P is the line perpendicular at Q
> to the plane ABC
> If l<0, a point P such as PA:PB:PC = u:v:w cannot exist
real space"; I encountered many geometrical problems
where e.g. a locus is imaginary except one special real point.
Also, I don't shriek back from using negative or imaginary
distances inbetween if it gives a cute result :-)
THX for verifying it's a circle - where (projected back on ABC)
does its highest/lowest point lie?
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