volume 30, issue 4, P543-571 2003
DOI: 10.1007/s00454-003-0789-4
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## Abstract: We solve the following geometric problem, which arises in several threedimensional applications in computational geometry: For which arrangements of two lines and two spheres in R 3 are there infinitely many lines simultaneously transversal to the two lines and tangent to the two spheres?We also treat a generalization of this problem to projective quadrics. Replacing the spheres in R 3 by quadrics in projective space P 3 , and fixing the lines and one general quadric, we give the following complete geometric …

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