Common Tangents to Spheres in R^3

Ciprian Borcea Xavier Goaoc 1 Sylvain Lazard 1 Sylvain Petitjean 1
1 ISA - Models, algorithms and geometry for computer graphics and vision
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We prove that four spheres in $\R^3$ have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
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https://hal.inria.fr/inria-00070675
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 9:11:15 PM
Last modification on : Thursday, January 11, 2018 - 6:19:48 AM
Long-term archiving on : Sunday, April 4, 2010 - 9:42:06 PM

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  • HAL Id : inria-00070675, version 1

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Ciprian Borcea, Xavier Goaoc, Sylvain Lazard, Sylvain Petitjean. Common Tangents to Spheres in R^3. [Research Report] RR-5325, INRIA. 2004, pp.16. ⟨inria-00070675⟩

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