Some New Types Of Associated Curves In Euclidean 3-Space

Abstract

In this paper, we introduce the concept of D-direction curve and C-direction curve of a given curve using the alternative frame {N, C, W} in Euclidean 3-space. Furthermore, we define a (N, C) plane curve, a (N, W) plane curve and a (C, W) plane curve of a given curve, and give some results related to them. Finally, we present some illustrated examples for new associated curves.