<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

Some new types of associated curves in Euclidean 3-space

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Some new types of associated curves in Euclidean 3-space"}

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....

欧氏3空间中的几种新型关联曲线

在线发布:2018年3月31日

页面范围： 205 - 221

收到:2017年4月8日

认可的:2017年7月11日

内政部： https://doi.org/10.2478/auom-2018-0013

关键词
积分曲线,普通螺旋线,斜螺旋线,C斜螺旋,相关曲线

©2018年

本作品是根据Creative Commons Attribution-NonCommercial-NoDerivatives 4.0许可证授权的。