Korean J. Math.  Vol 26, No 3 (2018)  pp.425-437
DOI: https://doi.org/10.11568/kjm.2018.26.3.425

Surfaces generated via the evolution of spherical image of a space curve

M. A. Soliman, Nassar H.Abdel-All, R. A. Hussien, Taha Youssef Shaker

Abstract


In this paper, we linked  the motion of spherical images with the motion of their curves. Surfaces generated by the evolution of spherical image of a space curve are constructed. Also geometric proprieties of these surfaces are obtained.

Keywords


Curve evolution, Spherical image, Seret-Frenet, Surface generated.

Subject classification

53A05

Sponsor(s)



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