@article{Saracoglu_Yayli_2014, title={Special Space Curves Characterized by $\det(α^{(3)}, α^{(4)}, α^{(5)}) = 0$}, volume={66}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/2160}, abstractNote={By using the facts that the condition$\det(α^{(1)}, α^{(2)}, α^{(3)}) = 0$ characterizes a plane curve and the condition $\det(α^{(2)}, α^{(3)}, α^{(4)}) = 0$ characterizes a curve of constant slope, we present special space curves characterized by the condition $\det(α^{(3)}, α^{(4)}, α^{(5)}) = 0$, in different approaches. It is shown that the space curve is Salkowski if and only if $\det(α^{(3)}, α^{(4)}, α^{(5)}) = 0$. The approach used in our investigation can be useful in understanding the role of the curves characterized by $\det(α^{(3)}, α^{(4)}, α^{(5)}) = 0$ in differential geometry.}, number={4}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Saracoglu, S. and Yayli, Y.}, year={2014}, month={Apr.}, pages={571-576} }