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Common Tangents to Spheres in R3

Identifieur interne : 006C91 ( Main/Merge ); précédent : 006C90; suivant : 006C92

Common Tangents to Spheres in R3

Auteurs : Ciprian Borcea ; Xavier Goaoc ; Sylvain Lazard ; Sylvain Petitjean

Source :

RBID : CRIN:borcea04b

English descriptors

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.

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Links to Exploration step

CRIN:borcea04b

Le document en format XML

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<title xml:lang="en" wicri:score="207">Common Tangents to Spheres in R3</title>
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<name sortKey="Goaoc, Xavier" sort="Goaoc, Xavier" uniqKey="Goaoc X" first="Xavier" last="Goaoc">Xavier Goaoc</name>
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<name sortKey="Lazard, Sylvain" sort="Lazard, Sylvain" uniqKey="Lazard S" first="Sylvain" last="Lazard">Sylvain Lazard</name>
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<name sortKey="Petitjean, Sylvain" sort="Petitjean, Sylvain" uniqKey="Petitjean S" first="Sylvain" last="Petitjean">Sylvain Petitjean</name>
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<term>3d visibility</term>
<term>computational geometry</term>
<term>tangent lines</term>
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Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Main/Merge
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 006C91 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 006C91 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
   |flux=    Main
   |étape=   Merge
   |type=    RBID
   |clé=     CRIN:borcea04b
   |texte=   Common Tangents to Spheres in R3
}}

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