No help whatsoever?
I've since worked out that as direction isn't given, orientation doesn't matter. I've ignored the 1D example, as it confuses me, so let us consider the points O1(1,3) O2(2,1) O3(4,2)
That set of three distances is all we have.
Thus, if we assume that O1 = (0,0), we can also assume that O2 = , meaning that if we draw a circle of radius with the center (0,0), and a circle of radius about point , we should end up with 2 points, (or one, in certain cases) upon which O3 can be. We'll need another point if we want to know which of these is the appropriate point, I believe, but I haven't got that far yet.