Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E

Mustafa Kazaz; Hasan Hüseyin Uğurlu; Mehmet Önder; Seda Oral

doi:10.5578/fmbd.25270

Research Article

Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E

Year 2016, Volume: 16 Issue: 1, 76 - 83, 30.04.2015

Mustafa Kazaz , Hasan Hüseyin Uğurlu , Mehmet Önder , Seda Oral

https://doi.org/10.5578/fmbd.25270

Cited By: 6

Abstract

In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by
considering the Darboux frames of surface curves, we call these curves as Bertrand partner D ‐curves
and give the characterizations for these curves by means of the geodesic curvatures, the normal
curvatures and the geodesic torsions of these associated curves.

Keywords

Bertrand Partner Curves, Darboux Frame, Geodesic, Principal Line, Asymptotic Curve

Year 2016, Volume: 16 Issue: 1, 76 - 83, 30.04.2015

Mustafa Kazaz , Hasan Hüseyin Uğurlu , Mehmet Önder , Seda Oral

https://doi.org/10.5578/fmbd.25270

Cited By: 6

Abstract

There are 0 citations in total.

Details

Subjects	Engineering
Journal Section	Articles
Authors	Mustafa Kazaz Hasan Hüseyin Uğurlu Mehmet Önder Seda Oral This is me
Publication Date	April 30, 2015
Submission Date	January 6, 2016
Published in Issue	Year 2016 Volume: 16 Issue: 1

Cite

APA	Kazaz, M., Uğurlu, H. H., Önder, M., Oral, S. (2015). Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 16(1), 76-83. https://doi.org/10.5578/fmbd.25270
AMA	Kazaz M, Uğurlu HH, Önder M, Oral S. Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. April 2015;16(1):76-83. doi:10.5578/fmbd.25270
Chicago	Kazaz, Mustafa, Hasan Hüseyin Uğurlu, Mehmet Önder, and Seda Oral. “Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16, no. 1 (April 2015): 76-83. https://doi.org/10.5578/fmbd.25270.
EndNote	Kazaz M, Uğurlu HH, Önder M, Oral S (April 1, 2015) Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16 1 76–83.
IEEE	M. Kazaz, H. H. Uğurlu, M. Önder, and S. Oral, “Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 16, no. 1, pp. 76–83, 2015, doi: 10.5578/fmbd.25270.
ISNAD	Kazaz, Mustafa et al. “Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16/1 (April 2015), 76-83. https://doi.org/10.5578/fmbd.25270.
JAMA	Kazaz M, Uğurlu HH, Önder M, Oral S. Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2015;16:76–83.
MLA	Kazaz, Mustafa et al. “Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 16, no. 1, 2015, pp. 76-83, doi:10.5578/fmbd.25270.
Vancouver	Kazaz M, Uğurlu HH, Önder M, Oral S. Bertrand Partner D ‐Curves in the Euclidean 3‐space 3 E. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2015;16(1):76-83.