I have two rays, one of length $L_1$ and one of length $L_2$. I anchor these rays, each at one end, on the 3-space points $p_1$ and $p_2$. Assuming that the Euclidean distance between $p_1$ and $p_2$ is $\leq (L_1+L_2)$, what solution space defines the points where these rays can be oriented to touch at their free ends? How might I sample uniformly from this solution space?
removed deprecated (geometry) tag - see the tag info: http://mathoverflow.net/tags/geometry/info; if there are some other geometry-related tags which are suitable, please use some of them instead
Martin Sleziak
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