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Common Tangents to Spheres in R^3 (2004)

Borcea, Ciprian,
Goaoc, Xavier,
Lazard, Sylvain,
Petitjean, Sylvain

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.

Publication details

Download	http://hal.inria.fr/inria-00070675/en/
Source	http://hal.ccsd.cnrs.fr/docs/00/07/06/75/PDF/RR-5325.pdf
Publisher	HAL - CCSd - CNRS
Contributors	Rapport De Recherche Inria
Repository	CCSd/HAL : e-articles server (based on gBUS) (France)
Keywords	Computer Science
Type	RAPPORT
Coverage	COMPUTATIONAL GEOMETRY / 3D VISIBILITY / TANGENT LINES