This book is intended as a textbook on geometry and trigonometry for students of the physics and mathematics faculties of teacher institutes. In the part of the book concerning geometry, the material related to the seven-year school program is most detailed. Other sections of geometry are more concise; in them, we set out to give a systematic, although not repeating, course of secondary school, an exposition of the main questions of geometry, which would contribute to the development of spatial representations of students...