Syllabus
• Basic properties of geometric figures in three-dimensional space.
• Fundamental theorems of stereometry and their proofs.
• Positional and metric properties of spatial figures.
• Solids in oblique projection.
• Solids and their properties, particularly polyhedra, Euler's Theorem, Cavalieri's Principle.
• Geometric transformations in three-dimensional space (isometries, similarities).
• Geometric constructions in three-dimensional space.
Annotation
The course is focused on the properties of geometric shapes and mapping in three-dimensional Euclidean space, deepens and extends the secondary school knowledge from stereometry. In particular, the synthetic approach is used to derive relationships, prove them, and in problem solving.