Relative positions of lines and planes. Parallel lines and planes. Thales Theorem. Angles between lines, orthogonal lines. Distance of a point from a plane, distance between parallel planes. Dihedral angles, perpendicularity of planes. Perpendicular projection of shapes on a plane. Trihedral angles. Polyhedra: definitions, properties and measurements of prism, pyramid, cylinder, cone and sphere. Exercises. Projective line, plane, space. Cross ratio. Desargues and Pappos Theorems. Projective transformations. Conic sections, properties, constructions. Applications and exercises. Introduction to Descriptive Geometry. The system of two planes of projection and the system of horizontal projecting plane with elevations: Point, line and plane depictions, crossing and skew lines. Traces of straight lines and planes, intersection of lines and planes. Problem solving methods. Polyhedra: projections. Pyramid and prism intersection by a straight line and a plane. Development of polyhedra. Intersecting a cone, cylinder and sphere by a straight line and a plane. Development of cylinder and cone. Exercises. Applications.