Syllabus
Affine properties of 3D figures. Mutual positions of lines and planes.
Metric properties of 3D figures.
Angle deviations of lines and planes, distances in space.
Sets of points of given properties.
Classification and composition of geometric congruences in space, group of congruences.
Basic properties of similarities in space. Classification and composition of similarities in space, group of similarities.
Polyhedra, Euler's theorem.
Annotation
Basic notions and problems of 3D geometry are introduced. The course consolidates and deepens secondary school knowledge, while the cohesion of plane and 3D geometry is emphasized.
The course helps the students understand the connection of geometry and real world more deeply.