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Given two points A and B in a plane with distance $2r$, let there be a third point C in the same plane, denote the angle ACB by $\alpha$. If $\alpha = \pi /2$, we know the graph of C will be a circle with radius $r$, what if we fix $\alpha$ at some angle other than $\pi/2$? What if points A, B, and C are in 3-D space?

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The set consists of two circle arcs, but it is surely not appropriate forum. – Fedor Petrov Dec 12 2010 at 10:08
Thank you. You are so helpful. – kindlychung Dec 12 2010 at 10:11

closed as off topic by Yemon Choi, Fedor Petrov, Gerry Myerson, Sergei Ivanov, Mark Sapir Dec 12 2010 at 11:37

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