HAL - INRIA :: [inria-00100261, version 1] Common Tangents to Spheres in $R3$

inria-00100261, version 1

Common Tangents to Spheres in $R3$

Ciprian Borcea^a^, 1, Xavier Goaoc ()^b^, 2, Sylvain Lazard^c^, 2, Sylvain Petitjean^d^, 2

Discrete & Computational Geometry 35, 2 (2006) 287-300

Résumé : We prove that four spheres in $R3$ have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.

a – RIDER UNIVERSITY
b – UNIVERSITE NANCY 2
c – INRIA
d – CNRS
1 : Dept. of Mathematics
Rider University
2 : VEGAS (INRIA Lorraine - LORIA)
INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)

inria-00100261, version 1
http://hal.inria.fr/inria-00100261
oai:hal.inria.fr:inria-00100261
Contributeur : Sylvain Lazard <>
Soumis le : Jeudi 22 Novembre 2007, 13:18:12
Dernière modification le : Dimanche 30 Janvier 2011, 13:21:50

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DOI : 10.1007/s00454-005-1230-y

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