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Tangential intersection curve of two ruled surfaces in E^3

H. S. Abdel-Aziz, M. Khalifa Saad, A. A. Abdel-Salam

Abstract


This paper is devoted to the study of differential geometry properties for the tangential intersection curve of two ruled surfaces in Euclidean 3-space E^3. For this curve, the unit tangent vector T, the principle normal N and the binormal vector B as well as the curvature K and the torsion t are computed. Furthermore, some examples are given and plotted.

Keywords


Tangential intersection curve, surface-surface intersection, ruled surfaces, Frenet frame, Euclidean 3-space.

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