Ruled Surfaces with Constant Slope Ruling According to Darboux Frame

Year 2020, Volume: 8 Issue: 2, 135 - 144, 15.10.2020

Ayşe Yavuz , Fatma Ateş , Yusuf Yaylı

https://doi.org/10.36753/mathenot.640345

Cited By: 1

Abstract

 The main scope of this paper is to examine ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and su¢ cient conditions for these types surfaces to be developable. Also, the investigations are observed under some special cases. Especially we obtained that the striction lines and Gaussian curvature of the surfaces.                                                                                                                                                                                  .

Keywords

Ruled Surface, Surface with Constant Slope, Darboux Frame

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