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Uzaysal Kuaterniyonik Bertrand Eğri Çiftinin Frenet Çatısına Göre n1*w* - Smarandache Eğrisi.

Authors :
SENYURT, Süleyman
CEVAHİR, Ceyda
ALTUN, Yasin
Source :
Journal of Natural & Applied Sciences. 2018, Vol. 22 Issue 2, p896-900. 5p. 1 Graph.
Publication Year :
2018

Abstract

In this study, we obtain Frenet vectors and curvatures of Smarandache curve, b = 1/√2(w* + n1*), which forms in such a way that when we are given a spatial quaternionic Bertrand curve pair, (γ,γ*) then the curve draws a new curve generated by the motion of its unit Darboux vector w* and its normal vector n*1. The curvature and torsion which are found later are expressed depending on the spatial quaternionic Betrand curve. The subject was given an example and the drawing was made with Maple program. [ABSTRACT FROM AUTHOR]

Details

Language :
Turkish
ISSN :
13007688
Volume :
22
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Natural & Applied Sciences
Publication Type :
Academic Journal
Accession number :
137788266
Full Text :
https://doi.org/10.19113/sdufbed.74428