Geodesic
Common Normals of Two Tori
Journal for geometry and graphics, Tome 9 (2005) no. 1, pp. 51-65
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The present paper deals with the computation of the common normals of two tori. We use line geometry in order to describe these common normals as the solution of a system of algebraic equations. Further the non trivial configurations of two tori with infinitely many common normals are investigated.
Classification : 51N20, 51M35, 51N35
Mots-clés : Torus, common normal, line geometry, line complex, congruence of surface normals, ruled surface 
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     author = {B. Odehnal},
     title = {Common {Normals} of {Two} {Tori}},
     journal = {Journal for geometry and graphics},
     pages = {51--65},
     year = {2005},
     volume = {9},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2005_9_1_JGG_2005_9_1_a5/}
}
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B. Odehnal. Common Normals of Two Tori. Journal for geometry and graphics, Tome 9 (2005) no. 1, pp. 51-65. http://geodesic.mathdoc.fr/item/JGG_2005_9_1_JGG_2005_9_1_a5/