Perpendicular lines and planes, including the "three perpendiculars" theorem. Coordinate Systems: Introduction to coordinates in space. Vectors: Vector operations and applications in 3D geometry.
Basic axioms and their consequences.
Provides a comprehensive "reshebnik" for the 2010 academic level edition.
Mutual arrangement of lines and planes in space. Parallelism: Parallelism of lines and planes.
Systematization and generalization of facts and methods.