Normal Ruled Surfaces of a Surface along a Curve in Euclidean 3-Space E3

Abdel-Baky, R. A.; Nazra, S. H.

doi:10.28924/2291-8639-17-2019-559

Research Article

Normal Ruled Surfaces of a Surface along a Curve in Euclidean 3-Space E3

R. A. Abdel-Baky¹*
S. H. Nazra²

Department of Mathematics, Faculty of Science, University of Assiut, Assiut 71516, EGYPT
Department of Mathematics, Umm Al-Qura university, KSA

* Corresponding author

Abstract

In this paper, we define a ruled surface normal to a surface along a curve on the surface. Then, we analyze the necessary and sufficient condition for that surface to be normal developable. Also, we solve the problem when the resulting developable surface is a cylinder, cone or tangent surface. Finally, we give some representative examples.

How to Cite

R. A. Abdel-Baky, S. H. Nazra, Normal Ruled Surfaces of a Surface along a Curve in Euclidean 3-Space E3, Int. J. Anal. Appl. 17 (2019), 559–577. https://doi.org/10.28924/2291-8639-17-2019-559

BibTeX

@article{Abdel-Baky2019,
  author  = {Abdel-Baky, R. A. and Nazra, S. H.},
  title   = {Normal Ruled Surfaces of a Surface along a Curve in Euclidean 3-Space E3},
  journal = {Int. J. Anal. Appl.},
  volume  = {17},
  year    = {2019},
  pages   = {559--577},
  doi     = {10.28924/2291-8639-17-2019-559}
}

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