Characterizations of slant helices in Euclidean 3-space

Authors

LEVENT KULA
NEJAT EKMEKCİ
YUSUF YAYLI
KAZIM İLARSLAN

DOI

10.3906/mat-0809-17

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.

First Page

261

Last Page

274

Recommended Citation

KULA, LEVENT; EKMEKCİ, NEJAT; YAYLI, YUSUF; and İLARSLAN, KAZIM (2010) "Characterizations of slant helices in Euclidean 3-space," Turkish Journal of Mathematics: Vol. 34: No. 2, Article 10. https://doi.org/10.3906/mat-0809-17
Available at: https://journals.tubitak.gov.tr/math/vol34/iss2/10