Textbook. - M. : Drofa, 1999. — 208 s. A new textbook on stereometry for secondary schools implements the author's, visual-empirical concept of building a school geometry course and is characterized primarily by the rejection of the axiomatic method and an emphasis on visual methods. More attention, compared to traditional textbooks, is paid to methods of solving geometric problems. The textbook implements the idea of level differentiation: paragraphs marked with * are intended for in-depth training; important tasks are marked with a letter (c), useful - with a letter (p), difficult - with a letter (t). The textbook is included in the Federal List of Textbooks 1999/2000. The 10th Class . Straight and flat in space. Basic properties of space. Parallelism of lines and planes in space . The angle between the crossed straight lines . Perpendicularity of straight line and plane. The three perpendiculars theorem . The angle between straight and flat . Double angle between planes. Multifaceted . Image of polygons and polyhedra. Buildings on images. Convex polyhedrons. Multifaceted Angles. The right pyramid . Prisma, parallelepiped . Round Bodies . Basic Concepts . Rotational bodies. The touch of round bodies with a plane, with a straight line and with each other. Written and described polyhedrons. Problems and methods of stereometry . Auxiliary planes, sections. Design. Find the angle and distance between the intersecting straight lines. Scanning. Shortest paths on the surface of the body . Addition of tetrahedron to parallelepiped. Touch of round bodies. The 11th grade[edit] Volumes of polyhedrons. What is the volume?The volume of a rectangular parallelepiped. Scope of Prism. Similarity principle. Volume of the pyramid. Calculation of volumes of polyhedrons. Using volume properties when solving problems. Volumes and surfaces of round bodies. Cylinder and cone volume. Cavalieri principle and ball volume. Surface area of cylinder, cone and sphere. Schwarz Boots, or what is the surface area?The surface area of the spherical belt. The right polyhedrons. Determination of the correct polyhedron. Limited number of types of regular polyhedra. Tetrahedron, hexahedron (cub) and octahedron. Octahedron and icosahedron . Dodecahedron . The relationship between all right polyhedra. Coordinates and vectors in space. Cartesian coordinates in space. Distance formula between two points. Equation of the sphere. Equation of plane. The straight line equation. Vectors in space. Theorem on the uniqueness of representation of any vector in space through three non-complanar vectors. Scalar product of vectors. Additional tasks and tasks for repetition. Test your knowledge. In place of . Responses and Instructions.