Osculating direction curves and their applications

Abstract

In this study, we define a new type of direction curves in the Euclidean 3-space such as osculating-direction curve. We give the characterizations for these curves. Moreover, we obtain the relationships between osculating direction curves and some special curves such as helix, slant helix or rectifying curves.

13 page

References in corpus (1)

• Curves with constant curvature ratios