Some new types of associated curves in Euclidean 3-space

Özdoğan, Sibel; Tuncer, O. Oğulcan; Gök, İsmail; Yaylı, Yusuf

doi:10.2478/auom-2018-0013

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.

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Some new types of associated curves in Euclidean 3-space

Abstract

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