Evolution Of Special Ruled Surfaces Via The Evolution Of Their Directrices In Euclidean 3-Space E3

Authors

R. A. Hussien, Math. Dept., Faculty of Science, Assiut Univ., Assiut, 71516, EgyptFollow
Taha Youssef, Math. Dept., Faculty of Science, Assiut Univ., Assiut, 71516, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, evolutions of ruled surfaces that are generated by the normal and binormal vector fields of space curve (normal and binormal surfaces) are presented. These evolutions of the ruled surfaces depend on the evolutions of their directrices. Geometric visualization of these ruled surfaces are presented. In addition, the conditions which make these surfaces of types inextensible, developable and minimal are obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100536

Recommended Citation

A. Hussien, R. and Youssef, Taha (2016) "Evolution Of Special Ruled Surfaces Via The Evolution Of Their Directrices In Euclidean 3-Space E3," Applied Mathematics & Information Sciences: Vol. 10: Iss. 5, Article 36.
DOI: http://dx.doi.org/10.18576/amis/100536
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss5/36