Characteristic properties of ruled surfaces with darboux frame

This thesis has been subject to ruled surface with Darboux - Frame and their characteristic properties. Thesis consists of five chapters and two appendix. In the first chapter the aim of the thesis and the review of the literature are given. The basic concepts are described in the second chapter, which are used in whole thesis. In the third chapter ruled surfaces are examined. The fourth chapter of the thesis is the original part. Ruled surface with Darboux Frame defined and characteristic properties of them with respect to Darboux Frame are examined. Moreover, the relation between Darboux Frame and Frenet Frame is given. In the fifth chapter overview of the study are given and shown the path for future studies. The first additional part Appendix A is used as a basic knowledge of the third chapter parameter space are motions and Appendix B is used as fundamental analysis informations about all of the thesis at Appendix B.