An Alternative Method for Determination of the Position Vector of a Slant Helix

Gizem Güzelkardeşler; Burak Şahiner

doi:10.53570/jnt.1356697

EN

An Alternative Method for Determination of the Position Vector of a Slant Helix

Abstract

In this paper, we provide an alternative method to determine the position vector of a slant helix with the help of an alternative moving frame. We then construct a vector differential equation in terms of the principal normal vector of a slant helix using an alternative moving frame. By solving this vector differential equation, we determine the position vector of the slant helix. Afterward, we obtain parametric representations of some examples of slant helices for chosen curvature and torsion functions as an application of the proposed method. Finally, we discuss the method and whether further research should be conducted or not.

Keywords

Alternative moving frame, intrinsic equations, position vector, slant helix

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Gizem Güzelkardeşler
0000-0003-4023-5595
Türkiye

Burak Şahiner ^*
0000-0003-1471-1754
Türkiye

Publication Date

September 30, 2023

Submission Date

September 7, 2023

Acceptance Date

September 22, 2023

Published in Issue

Year 2023 Number: 44

DOI

https://doi.org/10.53570/jnt.1356697

IZ

https://izlik.org/JA85UA26EF

APA

Güzelkardeşler, G., & Şahiner, B. (2023). An Alternative Method for Determination of the Position Vector of a Slant Helix. Journal of New Theory, 44, 97-105. https://doi.org/10.53570/jnt.1356697

AMA

1.Güzelkardeşler G, Şahiner B. An Alternative Method for Determination of the Position Vector of a Slant Helix. JNT. 2023;(44):97-105. doi:10.53570/jnt.1356697

Chicago

Güzelkardeşler, Gizem, and Burak Şahiner. 2023. “An Alternative Method for Determination of the Position Vector of a Slant Helix”. Journal of New Theory, nos. 44: 97-105. https://doi.org/10.53570/jnt.1356697.

EndNote

Güzelkardeşler G, Şahiner B (September 1, 2023) An Alternative Method for Determination of the Position Vector of a Slant Helix. Journal of New Theory 44 97–105.

IEEE

[1]G. Güzelkardeşler and B. Şahiner, “An Alternative Method for Determination of the Position Vector of a Slant Helix”, JNT, no. 44, pp. 97–105, Sept. 2023, doi: 10.53570/jnt.1356697.

ISNAD

Güzelkardeşler, Gizem - Şahiner, Burak. “An Alternative Method for Determination of the Position Vector of a Slant Helix”. Journal of New Theory. 44 (September 1, 2023): 97-105. https://doi.org/10.53570/jnt.1356697.

JAMA

1.Güzelkardeşler G, Şahiner B. An Alternative Method for Determination of the Position Vector of a Slant Helix. JNT. 2023;:97–105.

MLA

Güzelkardeşler, Gizem, and Burak Şahiner. “An Alternative Method for Determination of the Position Vector of a Slant Helix”. Journal of New Theory, no. 44, Sept. 2023, pp. 97-105, doi:10.53570/jnt.1356697.

Vancouver

1.Gizem Güzelkardeşler, Burak Şahiner. An Alternative Method for Determination of the Position Vector of a Slant Helix. JNT. 2023 Sep. 1;(44):97-105. doi:10.53570/jnt.1356697

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