Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame

Gül Ugur Kaymanli

EN

Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame

Abstract

In this paper, we first introduce the evolute offset of non-cylindrical ruled surfaces with B-Darboux frame in Euclidean 3-space. Then some geometric properties of this evolute offset of non-cylindrical ruled surface are studied. That is, we examine the striction curve, distribution parameter, orthogonal trajectory of evolute offset of ruled surfaces in terms of B-Darboux frame of given ruled surfaces, and we study the developability of ruled surface generated by B-Darboux vectors in three-dimensional Euclidean space.

Keywords

B-Darboux Frame, Curvatures, Evolute Offset, Ruled Surface

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Gül Ugur Kaymanli ^*
0000-0003-4932-894X
Türkiye

Publication Date

December 31, 2020

Submission Date

November 6, 2020

Acceptance Date

December 8, 2020

Published in Issue

Year 2020 Number: 33

IZ

https://izlik.org/JA42PA46XS

APA

Ugur Kaymanli, G. (2020). Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame. Journal of New Theory, 33, 50-55. https://izlik.org/JA42PA46XS

AMA

1.Ugur Kaymanli G. Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame. JNT. 2020;(33):50-55. https://izlik.org/JA42PA46XS

Chicago

Ugur Kaymanli, Gül. 2020. “Characterization of the Evolute Offset of Ruled Surfaces With B-Darboux Frame”. Journal of New Theory, nos. 33: 50-55. https://izlik.org/JA42PA46XS.

EndNote

Ugur Kaymanli G (December 1, 2020) Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame. Journal of New Theory 33 50–55.

IEEE

[1]G. Ugur Kaymanli, “Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame”, JNT, no. 33, pp. 50–55, Dec. 2020, [Online]. Available: https://izlik.org/JA42PA46XS

ISNAD

Ugur Kaymanli, Gül. “Characterization of the Evolute Offset of Ruled Surfaces With B-Darboux Frame”. Journal of New Theory. 33 (December 1, 2020): 50-55. https://izlik.org/JA42PA46XS.

JAMA

1.Ugur Kaymanli G. Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame. JNT. 2020;:50–55.

MLA

Ugur Kaymanli, Gül. “Characterization of the Evolute Offset of Ruled Surfaces With B-Darboux Frame”. Journal of New Theory, no. 33, Dec. 2020, pp. 50-55, https://izlik.org/JA42PA46XS.

Vancouver

1.Gül Ugur Kaymanli. Characterization of the Evolute Offset of Ruled Surfaces with B-Darboux Frame. JNT [Internet]. 2020 Dec. 1;(33):50-5. Available from: https://izlik.org/JA42PA46XS