Open AccessMathematics

L. Kula, N. Ekmekçi, Y. Yaylı, K. Ilarslan

2010.1.1Turkish Journal of Mathematics

DOI: 10.3906/mat-0809-17

tlooto Summary

This 2010 paper investigates relations between general helices and slant helices in Euclidean 3-space, obtaining differential equations for characterization and slant helix equations.

Abstract

In this paper we investigate the relations between a general helix and a slant helix. Moreover, we obtain some differential equations which they are characterizations for a space curve to be a slant helix. Also, we obtain the slant helix equations and its Frenet aparatus.

Citation format

KULA, L., et al. Characterizations of slant helices in euclidean 3-space. Turkish Journal of Mathematics, 2010.