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Journal for Geometry and Graphics 7 (2003), No. 2, 129--136
Copyright Heldermann Verlag 2003
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On Instantaneous Rectilinear Congruences
Rashad A. Abdel-Baky
Dept. of Mathematics, Faculty of Science, University of Assiut, 71516 Assiut, Egypt,
rbaky@hotmail.com
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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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