On some special curves in dual space

This thesis consists of five chapters. In the introduction section, information was given about the historical development of ruled surfaces. In the material and method section, basic concepts and curves in Euclidean space, Serret-Frenet frame and alternative frames, ruled surfaces, dual curves, Serret-Frenet frame and alternative frames in dual space, dual numbers with basic definitions and theorems about Blaschke frame, dual vectors, E- Study mapping was given and various examples were made. In the findings section, the ruled surfaces were firstly created according to the N-Bishop frame and their characterizations were calculated. Ruled surfaces were created according to the modified frame and their characterizations were calculated. Then, ruled surfaces selected from special curves of based curves were examined. In the fourth chapter, examples of these created surfaces were made. In the fifth chapter, conclusions and suggestions related to the subject are given.