Common Tangents to Spheres in R3
Identifieur interne : 006988 ( Main/Exploration ); précédent : 006987; suivant : 006989Common Tangents to Spheres in R3
Auteurs : Ciprian Borcea ; Xavier Goaoc ; Sylvain Lazard ; Sylvain PetitjeanSource :
English descriptors
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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.
Affiliations:
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Le document en format XML
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<author><name sortKey="Goaoc, Xavier" sort="Goaoc, Xavier" uniqKey="Goaoc X" first="Xavier" last="Goaoc">Xavier Goaoc</name>
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<author><name sortKey="Lazard, Sylvain" sort="Lazard, Sylvain" uniqKey="Lazard S" first="Sylvain" last="Lazard">Sylvain Lazard</name>
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<author><name sortKey="Petitjean, Sylvain" sort="Petitjean, Sylvain" uniqKey="Petitjean S" first="Sylvain" last="Petitjean">Sylvain Petitjean</name>
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<profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>3d visibility</term>
<term>computational geometry</term>
<term>tangent lines</term>
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<front><div type="abstract" xml:lang="en" wicri:score="916">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.</div>
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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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