TY - JOUR T1 - Ruled Surfaces with Constant Slope Ruling According to Darboux Frame AU - Yavuz, Ayşe AU - Ateş, Fatma AU - Yaylı, Yusuf PY - 2020 DA - October Y2 - 2020 DO - 10.36753/mathenot.640345 JF - Mathematical Sciences and Applications E-Notes JO - Math. Sci. Appl. E-Notes PB - Murat TOSUN WT - DergiPark SN - 2147-6268 SP - 135 EP - 144 VL - 8 IS - 2 LA - en AB - The main scope of this paper is to examine ruled surfaces with constant slope ruling with respect to the given surface according to Darboux Frame. We give necessary and su¢ cient conditions for these types surfaces to be developable. Also, the investigations are observed under some special cases. Especially we obtained that the striction lines and Gaussian curvature of the surfaces. . KW - Ruled Surface KW - Surface with Constant Slope KW - Darboux Frame CR - [1] Do Carmo, M. P.: Differential Geometry of Curves and Surfaces. Prentice-Hall, ISBN 0-13-212589- 7 (1976). CR - [2] Hacısalihoğlu H.H.: Differential Geometry. Ankara, Faculty of Science Publ. (2000). CR - [3] Malecek K, Szarka J, Szarková D : Surfaces With Constant Slope and Their Generalization. J. Polish Society Geometry Eng. Graphics, 19:67-77 (2009). CR - [4] Sabuncuoğlu A. : Differential Geometry, Nobel Publication. ISBN978-975-591-237-0. Ankara (2010). CR - [5] Papageorgiou S. G., Aspragathos N. A.: Rational ruled surfaces construction by interpolating dual unit vectors representing lines. In: International Conference on Computer graphics, Visualization and Computer Vision, Pilzen, Czech Republic, 30 January–3 February 2006. Pilzen: WSCG, University of West Bohemia ( 2006). UR - https://doi.org/10.36753/mathenot.640345 L1 - https://dergipark.org.tr/en/download/article-file/844122 ER -