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Developable Surfaces Through Sweeping Surfaces

  • R. A. Abdel-Baky
Original Paper
  • 12 Downloads

Abstract

This paper studies the rotation minimizing frames that are associated with spatial curves and the sweeping surfaces which are generated by these frames. Then the necessary and sufficient condition for sweeping surface to be developable ruled surface is derived. In particular, we focused for the resulting developable surface is a cylinder, cone or tangent surface.

Keywords

Line of curvature Profile curve Developable surface Parabolic points 

Mathematics Subject Classification

53A04 53A05 53A17 

Notes

References

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Copyright information

© Iranian Mathematical Society 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Sciences Faculty for GirlsJeddah UniversityJeddahKingdom of Saudi Arabia
  2. 2.Department of Mathematics, Faculty of ScienceUniversity of AssiutAssiutEgypt

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