M. , Education, 1966 . 368 s. Geometrical Figures . Types of concepts found in elementary geometry. Concept of figure. Operations on Figures. Various concepts for which the term "angle" is usedOn the content of the concepts "body", "surface", "line" in elementary geometryOn the mutual arrangement of lines and planes. Parallelity and perpendicularity . On finding figures by the characteristic property of their points. Circle and Sphere of Apollonia . Radical Axis and Radical Center . Questions to Repeat. Tasks. Polygons, polyhedra, polyhedra. Definition of polygon. Right and Semi-Right Polygons . Multifaceted Angles. The concept of a multi-faceted surface and a polyhedron. On the definition of the simplest types of polyhedrons . Coherence of multi-faceted surface and genus of polyhedron. Descartes-Eiler theorem on polyhedrons. The right polyhedrons. Semi-correct polyhedra. Frame (one-dimensional) polyhedraOn the construction of images of multi-faceted surfaces and their sections . Questions to Repeat. Tasks. Geometrical quantities. Some preliminary observations . Measurement of segment. Main properties of segment length. Summary of the practice of measuring segments, angles and arcs. Some metric theorems about triangles and quadrilaterals. The concept of flat figure area. Proof of quadracity of simple polygons. Basic properties of flat figure area. Areas of some figures. Some information about the practical methods of finding the area of flat figures. The concept of volume of a three-dimensional figure and its properties . Cubicity of a simple polyhedron. Prismatoid volume. The use of the concepts of area and volume as an auxiliary means for solving problemsOn the concepts of the length of a flat curve and the area of a surface curve. Equalized Figures . Cavalieri principle and method of parallel sections. Application of barycentric considerations to the solution of geometric problems. Application of vector algebra in elementary geometry. Isoperimetric problems. Questions to Repeat. Tasks. Geometric transformations. Some preliminary information. Movement. Transfers and turns. Reflection from the plane. Reflection from point. On the symmetry elements of polyhedra. Arbitrary motion in the plane. Arbitrary motion in space . Gomothetia . Similar to . InversionOn applications of geometric transformations to the study of the properties of figures. The concept of continuous transformations of figures . Questions to Repeat. Tasks. Geometric constructions. General axioms of constructive geometry. Construction tools. Task to build. Method of solving geometric problem for construction. Problem solving for the construction by the method of intersection of figures . Method of geometric transformationsOn the construction of segments specified by formulas. Algebraic method of problem solving for construction. A sign of the possibility of constructing a segment, which is a given function of these segments, with the help of a circle and a rulerOn problems that are not solved by a compass and a ruler. Building the Right Polygons . Building with one circular . Constructions by one rulerOn geometric constructions with other tools. Buildings with inaccessible points. Geometric postpoenies in spaceOn geometric constructions on surfaces. Questions to Repeat. Tasks3Accomplishment. Literature. Index subject