Evolutions of the Ruled Surfaces via the Evolution of Their Directrix Using Quasi Frame along a Space Curve

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DOI: 10.4236/jamp.2018.68149    945 Downloads   1,711 Views  Citations

ABSTRACT

In this paper, evolutions of ruled surfaces generated by the quasi normal and quasi binormal vector fields of space curve are presented. These evolutions of the ruled surfaces depend on the evolutions of their directrix using quasi frame along a space curve.

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Soliman, M. , Abdel-All, N. , Hussien, R. and Youssef, T. (2018) Evolutions of the Ruled Surfaces via the Evolution of Their Directrix Using Quasi Frame along a Space Curve. Journal of Applied Mathematics and Physics, 6, 1748-1756. doi: 10.4236/jamp.2018.68149.

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