Corresponding developable ruled surfaces in Euclidean 3-space E3
Abstract
In this paper, motion of Darboux vector on two different space curves in Euclidean 3-space is investigated. The structure of the motion is based on ruled surfaces generated by Darboux vector ~ ω. According to this, developability of the considered ruled surfaces are studied. An extensive comparison between these developable ruled surfaces is performed. Some relations between the corresponding curves on the developable ruled surfaces are performed. Finally, special correspondence is given and plotted.
Copyright © 2016 N.H. Abdel-All, F.M. Hamdoon, H.N. Abd-Ellah, A.K. Omran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
N. H. Abdel-All, F. M. Hamdoon, H. N. Abd-Ellah, A. K. Omran, Corresponding developable ruled surfaces in Euclidean 3-space E3, J. Math. Comput. Sci. 6 (2016), 390–405.
BibTeX
@article{Abdel-All2016,
author = {Abdel-All, N.H. and Hamdoon, F.M. and Abd-Ellah, H.N. and Omran, A.K.},
title = {Corresponding developable ruled surfaces in Euclidean 3-space E3},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {390--405},
doi = {}
}