Title of article :
Characterizations of slant helices in Euclidean 3-space
Author/Authors :
Kula, L. Ahi Evran University - Faculty of Sciences and Arts - Department of Mathematics, TURKEY , Ekmekci, N. Ankara Üniversitesi - Faculty of Science - Department of Mathematics, TURKEY , Yaylı, Y. Ankara Üniversitesi - Faculty of Science - Department of Mathematics, TURKEY , Ilarslan, K. Kırıkkale University - Faculty of Sciences and Arts - Department of Mathematics, TURKEY
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.
Keywords :
Slant helix , genaral helix , spherical helix , tangent indicatrix , principal normal indicatrix and binormal indicatrix.
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
