Academy of Technical and
Art Applied Studies Belgrade

Descriptive Geometry Course code: NACG | 5 ECTS credits

Basic information
Level of Studies: Undergraduate applied studies
Year of Study: 1
Semester: 2
Requirements:
Goal: The objective of this course is to enable students to master space organization using a drawing in the study of geometric shapes, to learn the precision of presentation and perception, as well as to create in their minds a spatial image of the shapes shown in the drawing thorugh the appropriate geometrical analysis.
Outcome: This course provides theoretical and practical knowledge within the science on space and the ability to intervene in the space in a proper way, i.e. to detect regularities inspace that will be used in design and execution in order to set architectural elements in a proper way.
Contents of the course
Theoretical instruction:
  1. Introduction to descriptive geometry, center of projecting, projectionraysand projection plane. Orthogonal projection, coordinate trihedron, octants.
  2. Projection of a point, straight lineand line segment. Straight line in a special position. Intersections of a straight line through projective planes. Mutual position of straight lines.
  3. Plane, special positions of a plane. Point and straight line in a plane. Arbitrary plane. Orthogonal inclined trihedron. Intersection of a plane. Intersection of a straight line through a plane.
  4. Oblique projection. Point, straight line, plane.
  5. Regular polyhedra - tetrahedron, hexahedron, octahedron, icosahedron.
  6. Transformation, general method, measure of a line segment and angles, transformation of solids. Rotation, general method, measuring line segment and angles, laying down a plane.
  7. Metric tasks - constructing spatial shapes in an arbitrary position.
  8. Collinear and affine relations. Plane intersections of polyhedra, prism and pyramid, and the development of networks.
  9. Conical interections. Intersection of cone ellipses, parabola and hyperbole. Constructions of curves.
  10. Mutual intersections of non-polyhedra geometric solids. Intersection of two prisms, intersection of two pyramids, intersection of a prism and a pyramid.
  11. Roofs. Roof elements, simple, complex. Solutions for complex roof with examples of neighbor, tower and inner courtyard.
  12. Helical and warped surfaces. Helical convolutions, hyperbolic paraboloid, rotating hyperboloid, conoid.
  13. Numerical projection. Point, straight line and plane in numerical projection.
  14. Solutions for a plateau and road. Design of cuttings and fills, cross-section and longitudinal section of a road.
Practical instruction (Problem solving sessions/Lab work/Practical training):
  1. Solving assignments from the fields presented during lectures, training.
Textbooks and References
Number of active classes (weekly)
Lectures: 2
Practical classes: 2
Other types of classes: 0
Grading (maximum number of points: 100)
Pre-exam obligations
Points
activities during lectures
10
activities on practial excersises
0
seminary work
20
colloquium
0
Final exam
Points
Written exam
70
Oral exam
0