Frenet-Serret motion and ruled surfaces with constant slope

International Journal of Physical Sciences

Yusuf YAYLI¹ 

关键词: Frenet-Serret motion;    Smarandache curves;    constant slope surfaces;    ruled surfaces;    helix curves.;   

DOI  :  10.5897/IJPS11.1443

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, we study Frenet-Serret motion and ruled surfaces with constant slope in Euclidean 3-space. By applying Frenet-Serret motion to the points of a cone, we obtain ruled surfaces with constant slope and we investigate these surfaces. We give the definition of a Smarandache curve in Euclidean 3-space. Also, we define a new type of general helix curves on a ruled surface in Euclidean 3-space.

【 授权许可】

CC BY