IJPAM: Volume 19, No. 2 (2005)

THE PEDAL CONE SURFACE OF
A DEVELOPABLE RULED SURFACE

E. Kasap$^1$, A. Saraoglugil$^2$, N. Kuruoglu$^3$
$^{1,2}$Department of Mathematics
Faculty of Arts and Sciences
Ondokuz Mayis University
Kurupelit, Samsun, 55139, TURKEY
$^1$e-mail: kasape@omu.edu.tr
$^2$e-mail: ayhans@omu.edu.tr
$^3$Department of Mathematics and Computer Sciences
Faculty of Arts and Science
Bahçesehir University
Bahçesehir, Istanbul, 34538, TURKEY
e-mail: kuruoglu@bahcesehir.edu.tr


Abstract.In this paper, the pedal of a developable ruled surface $M$ in 3-dimensional Euclidean space $E^3$ is investigated and the components of the position vector of the base curve $\alpha (s)$ are found by means of the pedal of $M$. Furthermore, the pedal cone surface of the developable ruled surface $M$ is defined and the pedal cone surfaces of the tangent, principal normal and binormal ruled surfaces of the base curve $\alpha (s)$ are investigated.

Received: December 12, 2004

AMS Subject Classification: 53A05

Key Words and Phrases: ruled surface, pedal curve, pedal surface, pedal cone surface

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 19
Issue: 2