Academy of Technical and
Art Applied Studies Belgrade

descriptive Geometry with Perspective Course code: NAPE | 6 ECTS credits

Basic information
Level of Studies: Undergraduate applied studies
Year of Study: 1
Semester: 1
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 drawing and perception, as well as to create in their minds a spatial image of the shapes shown in the drawings through the appropriate geometrical analysis.
Outcome: This course provides understanding of the role and significance of spatial forms of an architectural-construction structure and its presentation in the preparation of project documentation, i.e. it provides theoretical and practical knowledge within the science on space and the ability to intervene in the space in a proper way.
Contents of the course
Theoretical instruction:
  1. Orthogonal projection, coordinate trihedron, octants.
  2. Projection of a point, straight lineand line segment. Straight line in a special position.Penetrations of a straight line through projective planes. Mutual position of straight lines. Plane. Point and straight line in a plane. Arbitrary plane.
  3. Orthogonal inclined trihedron. Intersection of a plane. Penetration of a straight line through a plane.
  4. Oblique projection. Point, straight line, plane.Regular polyhedra. Transformation and rotation, measurementof a real line segment and angles, transformation and rotation of solids.
  5. Metric tasks - constructing spatial forms in an arbitrary position.
  6. Collinetion and affinity. Plane intersections of polyhedra, prism and pyramid, and the development of networks.
  7. Conical interections. Intersection of a cone by an ellipse, parabola and hyperbole. Constructions of curves.
  8. Mutual intersections of non-polyhedra geometric solids, intersection of two pyramids, intersectionsof two prisms, intersection of a prism and a pyramid.
  9. Roofs. Roof elements. Solutions for complex roof with the examples.
  10. Helical and warped surfaces.
  11. Numerical projection. Solutions for a plateau. Design of cuttings and fills.
  12. The role of perspective in designing, a line of sight, structure, sight rays, a main plane, horizon plane. Image of a point, straight line, penetrations, vanishing points.Mutual positions of straight lines and their position in relation to picture plane and main plane. Traces and vanishing points of a plane. Mutual position of planes.
  13. Perspectives of flat figures. Methods of drawing perspective images.
  14. Perspective of a structure. Selection of the position of line of sight and picture plane. Use of a lowered base. Different methods of drawing structures.
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
0
activities on practial excersises
0
seminary work
0
colloquium
0
Final exam
Points
Written exam
0
Oral exam
0