@article{article_292077, title={Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space}, journal={Communication in Mathematical Modeling and Applications}, volume={1}, pages={26–43}, year={2016}, author={Unluturk, Yasin and Cimdiker, Muradiye and Ekici, Cumali}, keywords={Parallel ruled surface,Darboux frame,developability,Steiner rotation vector,pitch length,pitch angle.}, abstract={<p>In this paper, the parallel ruled surfaces with Darboux frame are introduced in Euclidean 3-space. Then some characteristic properties such as developability, striction point and distribution parameter of the parallel ruled surfaces with Darboux frame are given in Euclidean 3-space. Then we obtain Steiner rotation vector of this kind of surfaces Euclidean 3-space. By using this rotation vector, we compute pitch length and pitch angle of the parallel ruled surfaces with Darboux frame.  <br> </p>}, number={1}, publisher={Mustafa BAYRAM}