12 Feb
2013
12 Feb
'13
6:24 p.m.
"HB" == Henry Baker <hbaker1@pipeline.com> writes:
HB> Actually, the _only_ connection between ellipses and the complex plane I can think of is Marden's Theorem: HB> http://en.wikipedia.org/wiki/Marden%27s_theorem Silly question based on that: The article doesn't mention what occurs when the three zeros of p(z) are collinear. Presumably if one allows for degenerate triangles, ellipses then the theorem holds? But what happens to the inellipse's foci? Does it perhaps hold that if the zeros of p(z) are collinear, then they are also the union of the zeros of p'(z) and p''(z)? -JimC -- James Cloos <cloos@jhcloos.com> OpenPGP: 1024D/ED7DAEA6