Fundamentals of vector graphics, two-dimensional (2D), and three-dimensional (3D) Computer Aided Design (CAD) systems. Application of Cartesian and polar coordinate systems. CAD principles from simple 2D drafting to the developing of architectural drawings with the use of layers and library elements (blocks). 3D modelling of geometrical shapes and architectural details.
Curves and surfaces. Conoic sections. Generation of surfaces, tangent plane, contour point, contour line. Classification of surfaces; surfaces of revolution, quadratic, ruled, helical, conoid, developable surfaces. Intersection of surface and plane. Intersection of two surfaces. Shadows an shades of surfaces. Projection with elevation, topographical representation, earth works.
Apollonius' problem. Conic sections. Polyhedra, regular polyhedra, representation, models and reconstruction from images. Cylinder, cone, and sphere. Introduction to 3D geometry, parallelism, perpendicularity, 3D-loci, 3D constructions. Methods of representation; multi-view system, axonometric sketch, modellig. Calculation on angles and distances.