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P l a n i m e t r y (Plane geometry)
Theorems, axioms, definitions
Straight line, ray, segment
Angles
Parallel straight lines
Euclidean geometry axioms
Polygon
Triangle
Parallelogram and trapezoid
Similarity of plane figures. Similarity
criteria of triangles
Geometric locus. Circle and circumference
Inscribed and circumscribed polygons.
Regular polygons
Areas of plane figures
Problems: Plane
geometry
S t e r e o m e t r y (Solid geometry)
Common notions
Angles. Projections. Polyhedral angles
Parallelism and perpendicularity of straight lines and planes
Polyhedrons. Prism, parallelepiped, pyramid
Cylinder
Cone
Ball (sphere)
Tangent plane of a ball, a cylinder and
a cone
Solid angles
Regular polyhedrons
Symmetry. Symmetry of plane figures
Similarity of bodies
Volumes and areas of bodies' surfaces
Problems: Solid
geometry
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