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Transversals to Line Segments in R^3

Identifieur interne : 007B83 ( Main/Exploration ); précédent : 007B82; suivant : 007B84

Transversals to Line Segments in R^3

Auteurs : Hervé Brönnimann [États-Unis] ; Hazel Everett [France] ; Sylvain Lazard ; Frank Sottile ; Sue Whitesides

Source :

RBID : Hal:inria-00071719

English descriptors

Abstract

We completely describe the structure of the connected components of transversals to a collection of n line segments in R^3. We show that n3 arbitrary line segments in R^3 admit 0, 1, , n or infinitely many line transversals. In the latter case, the transversals form up to n connected components.

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Affiliations:


Links toward previous steps (curation, corpus...)


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   |wiki=    Wicri/Lorraine
   |area=    InforLorV4
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   |texte=   Transversals to Line Segments in R^3
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