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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: 5

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: 5

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.

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