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Discrete & Computational Geometry

, Volume 35, Issue 2, pp 287–300 | Cite as

Common Tangents to Spheres in ℝ3

  • Ciprian BorceaEmail author
  • Xavier GoaocEmail author
  • Sylvain LazardEmail author
  • Sylvain PetitjeanEmail author
Article

Abstract

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.

Keywords

Computational Mathematic Common Tangent 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Mathematics Department, Rider University, Lawrenceville, NJ 08648USA
  2. 2.LORIA-INRIA Lorraine, CNRS, and Universite Nancy 2, 54602 Villers-les-Nancy cedexFrance

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