ON DEVELOPABLE RULED SURFACE OF THE PRINCIPAL-DIRECTION CURVE

Year 2017, Volume: 5 Issue: 2, 172 - 180, 15.10.2017

Beyhan Yılmaz , Çağla Ramis Yusuf Yaylı

Abstract

This study is devoted to improve the theory of the developable ruled surfaces in terms of principal-direction curves of any spatial curve in three-dimensional Euclidean space. We obtain the new representation for developable surfaces by slant helices and the useful elements such as pitch, angle of pitch and dral with the help of a new frame $\left \{ N,C,W\right \} $. Furthermore, the investigation is observed under some special cases in terms of the director vector of surface.

Keywords

Ruled surface, developable ruled surface, helix, slant helix

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