On the distance formulae in the geometry of maximum metric

This thesis consists of five chapters. The first chapter is devoted to some literature knowledge. The second chapters is the chapter some fundamental definitions and theorems which are needed for the thesis are given. In the third chapter definition of maximum distance in the plane and some of its properties are given. Also in this chapter functional relation between Euclidean distance and Maximum distance is stated. In the fourth chapter it is shown that maximum distance in the space is a metric and in maximum geometry which is generated by this metric, distance of a point to a line, distance of a point to a plane and distance between two lines are searched. In the fifth and final chapter the study is summarized and some suggestions and conclusions are given.