Киселев А.П., Әмірбаев М., Геометрия, 2-бөлім (9-10 сынып), 1975

Foreword to the first edition

Solid geometry

Preliminary note

Chapter One. Lines and planes

I. Determining the position of a plane

II. Parallel lines and planes

Parallel lines

A line and a plane parallel to each other

Parallel planes

Construction problems

III. Perpendicular and oblique lines to a plane

IV. Relationship between parallelism and perpendicularity of lines and planes

Construction problems

V. Dihedral angles and the angle between a line and a plane

Angle between two skew lines. Polyhedral angles

Dihedral angles

Perpendicular planes

Angle between two skew lines

Angle between a line and a plane

Polyhedral angles

Simple cases of congruence of trihedral angles

Exercises

Chapter Two. Orthogonal projections of a point, a segment, and a figure

Chapter Three. Polyhedra

I. Parallelepiped and pyramid

Properties of the faces and diagonals of a parallelepiped

Properties of parallel sections of a pyramid

Lateral surface of a prism and a pyramid

Exercises

II. Volume of a prism and a pyramid

Volume of a parallelepiped

Volume of a prism

Volume of a pyramid

III. Similarity of polyhedra

IV. Concept of regular polyhedra

V. Concept of symmetry of spatial figures

Exercises

Chapter Four. Solids of revolution

I. Cylinder and cone

Surface area of a cylinder and a cone

Volume of a cylinder and a cone

Similar cylinders and similar cones

II. Sphere

Plane section of a sphere

Tangent plane to a sphere

Surface area of a sphere and its parts

Volume of a sphere and its parts

Exercises

Appendix. On the axioms of geometry