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Journal for Geometry and Graphics 7 (2003), No. 2, 129--136
Copyright Heldermann Verlag 2003

On Instantaneous Rectilinear Congruences

Rashad A. Abdel-Baky
Dept. of Mathematics, Faculty of Science, University of Assiut, 71516 Assiut, Egypt,

Two rectilinear congruences are introduced and investigated, which are generated by the instantaneous axes of revolution of the moving Darboux frame along the two families of lines of curvature on a regular non-spherical and non-developable surface.

Keywords: Line congruence, instantaneous axis, lines of curvature.

MSC: 53A05; 53A17, 53A25.

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