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Journal for Geometry and Graphics 09 (2005), No. 1, 051--065
Copyright Heldermann Verlag 2005

Common Normals of Two Tori

Boris Odehnal
Inst. of Discrete Mathematics and Geometry, University of Technology, Wiedner Hauptstrasse 8-10/104, 1040 Wien, Austria

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.

Keywords: Torus, common normal, line geometry, line complex, congruence of surface normals, ruled surface.

MSC: 51N20; 51M35, 51N35

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