The book is based on an ordinary school course in geometry on a plane: however, its content goes beyond the existing programs. This is an encyclopedia of elementary geometry, standing at the level of modern science and written by an outstanding mathematician. A significant advantage of the book is the presence of a large number of tasks, many of which can provide material for creative work. The book edition contains complete solutions to all these problems. Part 1. PlanimetryPart 2. Stereometry