Cayley formula and its applications in euclidean space

This thesis consists of five chapters. The introduction and the second chapter are devoted to basic concepts. In the third chapter, the Cayley formula is obtained and some applications of this formula are given. In the fourth chapter, the Frenet motion is defined and the pole axes of the H/H' motion obtained from this motion are found with respect to the H fixed and H' moving spaces. In the discussion and conclusion section, it is emphasized which studies can be done on different matrices using the results of this thesis. Keywords: Cayley Formula, Euclidean Space, Rotation Motion, H/H′ Motion