Abstrac
In this paper is studied, as a complement of Joachimsthal theorem, the behavior of
curvature lines near a principal cycle common to two orthogonal surfaces.

Palabras Claves
principal cycle, curvature lines. MSC: 53C12, 34D30, 53A05, 37C75

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Acerca del autor:
ragarcia@mat.ufg.br
The author was partially supported by FUNAPE/UFG and is fellow of CNPq. This work was done under the project PRONEX/FINEP/MCT - Conv. 76.97.1080.00 - Teoria Qualitativa das Equa¸c˜oes Diferenciais Ordin´arias and had the partial support of CNPq Grant 476886/2001-5.