Common Normals of Two Tori
Journal for geometry and graphics, Tome 9 (2005) no. 1, pp. 51-65
Voir la notice de l'article provenant de la source Heldermann Verlag
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
Mots-clés : Torus, common normal, line geometry, line complex, congruence of surface normals, ruled surface
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/
@article{JGG_2005_9_1_JGG_2005_9_1_a5,
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/}
}