<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....

Some new types of associated curves in Euclidean 3-space

Published Online: Mar 31, 2018

Page range: 205 - 221

Received: Apr 08, 2017

Accepted: Jul 11, 2017

DOI: https://doi.org/10.2478/auom-2018-0013

Keywords
Integral curve, general helix, slant helix, C-slant helix, associated curves

© 2018

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

Some new types of associated curves in Euclidean 3-space

Published Online: Mar 31, 2018

Page range: 205 - 221

Received: Apr 08, 2017

Accepted: Jul 11, 2017

DOI: https://doi.org/10.2478/auom-2018-0013

KeywordsIntegral curve, general helix, slant helix, C-slant helix, associated curves

© 2018

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

Keywords
Integral curve, general helix, slant helix, C-slant helix, associated curves