Kruhová inverze a její aplikace v geometrii

This thesis deals with the study of the circular inversion. In the first chapter we introduce the circular inversion and examine it predominantly from the construction point of view. In the second and third chapters we discuss the circular inversion mainly from the point of view of the analytical description. In the fourth chapter we study the characteristics of the circular inversion and its relation to the delineations as portrayed in high schools. The fifth and the sixth chapters contain examples of the use of the circular inversion and other delineations in the plane. We solve some of the Apollonius' problems and problems in limited picture plane