All themes/Mathematics/Solid Geometry/ Collapse all/Expand all Help Axioms of Solid Geometry   Axioms    Axioms of Solid Geometry. Movie.    Theorem 1    Theorem 2 Details Parallelism in Space   Theorem 1    Theorem 2 (The test for skew lines)    Theorem 3a    Theorem 3b (Transitivity of parallelism)    Theorem 4 (The test for parallelism of a line to a plane)    Theorem 6 (The test for parallelism of two planes)    Theorem 10    Parallel Projection    Representation of a parallelepiped    Representation of a prism.    Representation of a triangular pyramid    Representation of a regular triangular pyramid    Representation of a quadrilateral pyramid    Problem 1    Problem 2    Problem 3    Problem 4    Problem 5    Problem 6    Problem 7    Problem 8    Problem 9    Problem 9a    Parallelism in Space. Movie. Details Perpendicularity of Straight Lines and Planes   Definition of an angle between two skew lines.    Definition of a perpendicularity of lines    Definition of a perpendicular from a fixed point to a plane.    Definition of perpendicular planes.    Definition of an angle between an oblique and a plane    Definition of a dihedral angle.    Definition of an angle between planes    Theorem 1 (Test for perpendicularity of a st. line to a plane)    Theorem 7 (Of the three perpendiculars)    Theorem 8 (The test for perpendicularity of a plane to a plane)    Theorem 9    Theorem 11    Theorem 12    Theorem 13a    Theorem 13b    Problem 1    Problem 2    Problem 3    Problem 4    Problem 5    Problem 6    Problem 7    Problem 8    Problem 9    Problem 10    Problem 11    Problem 12    Problem 13    Problem 14    Problem 15    Perpendicularity of Straight Lines and Planes. Movie. Details Polyhedrons   Definition of a trihedral angle    Definition of a polyhedral angle    Definition of a prism    Definition of a right section of a prism    Definition of a frustum of a pyramid    Theorem 1    Theorem 2    Theorem 3    Theorem 6    Theorem 7    Theorem 8    Theorem 9    Theorem 12    Problem 3    Problem 4    Problem 5    Problem 6    Problem 7    Problem 8    Problem 10    Problem 11    Problem 12    Polyhedrons. Movie. Details Solids of Revolution   Definition of a right circular cylinder    Definition of a right circular cone    Definition of a frustum of a cone    Definition of a sphere.    Theorem 1    Theorem 1. Movie    Problem 1    Problem 2    Problem 4    Problem 5    Problem 6    Problem 8    Problem 9    Solids of Revolution. Movie. Details The Solids Volumes   Theorem 2a    Theorem 2b    Theorem 2c    Theorem 3    Theorem 4    Theorem 5a    Theorem 5b    Theorem 6    Theorem 7    Spherical segment    Spherical sector    Problem 2    Problem 3    Problem 4    Problem 5    Problem 6    Problem 7    Problem 12.    Problem 13    Problem 12. Movie.    The Solids Volumes. Movie.    Spherical segment. Movie.    Spherical sector. Movie.    Section of a Shpere. Movie. Details Combinations of Geometrical Figures   Theorem 2    Theorem 5    Problem 1    Problem 2    Problem 8    Problem 9    Problem 10    Problem 11    Problem 12    Polyhedra Sections. Movie. Details Coordinates and Vectors in Space   Definition of a Cartesian Coordinate System    The Equation of a Plane in Space.    Intercept form of the equation of a plane    The Cartesian Coordinate System. Movie. Details