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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,
rbaky@hotmail.com
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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