International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Frenet-Serret motion and ruled surfaces with constant slope

Yusuf YAYLI and Evren ZIPLAR*
Department of Mathematics, Faculty of Science, University of Ankara, TandoÄŸan, Ankara, Turkey.
Email: [email protected]

  •  Accepted: 26 September 2011
  •  Published: 16 November 2011

Abstract

 

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.

 

Key words: Frenet-Serret motion, Smarandache curves, constant slope surfaces, ruled surfaces, helix curves.