Locus of points such that sum of it's distances of them from four fixed points remains constant? Is the locus circle? I was not able to solve it as there were four radicals. Is it a theorem?
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1http://jwilson.coe.uga.edu/emt725/Tri.Locus/FourPt/FourPt.html – Intelligenti pauca Feb 10 '16 at 18:50
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Is the locus a circle ?
In general, no. It is a multifocal ellipse. More information on this topic can be found here, along with a video showing how to actually draw one.
