Transversals to Line Segments in R^3
Identifieur interne : 008003 ( Main/Merge ); précédent : 008002; suivant : 008004Transversals to Line Segments in R^3
Auteurs : Hervé Brönnimann [États-Unis] ; Hazel Everett [France] ; Sylvain Lazard ; Frank Sottile ; Sue WhitesidesSource :
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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<front><div type="abstract" xml:lang="en">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.</div>
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