Ruled surfaces genareted by the Salkowski curve and its frenet vectors

In the Introduction of this thesis, the brief history of geometry, the place of the curves and surfaces in daily life and technology, and the studies carried out in this field are mentioned. In the General Information section, basic concepts about curves and surfaces in Euclidean space, which have used in the original part of the study, are included. In the Materials and Methods section, Salkowski curve in Euclidean space, which is the main character of the study, and some geometric properties of this curve are expressed. The Findings section constitutes the original part of the study. In this section, ruled surfaces whose main curve is the Salkowski curve and whose direction vector consists of linear combination of Frenet vectors of this curve have defined and the parametric equations of these surfaces have given. Moreover, the normal vectors, striction curves, distribution parameters, tangent and asymptotic plane equations of these surfaces have calculated and their graphs have drawn.