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:
- Introduction to descriptive geometry, center of projecting, projectionraysand projection plane. Orthogonal projection, coordinate trihedron, octants.
- 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.
- 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.
- Oblique projection. Point, straight line, plane.
- Regular polyhedra - tetrahedron, hexahedron, octahedron, icosahedron.
- 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.
- Metric tasks - constructing spatial shapes in an arbitrary position.
- Collinear and affine relations. Plane intersections of polyhedra, prism and pyramid, and the development of networks.
- Conical interections. Intersection of cone ellipses, parabola and hyperbole. Constructions of curves.
- Mutual intersections of non-polyhedra geometric solids. Intersection of two prisms, intersection of two pyramids, intersection of a prism and a pyramid.
- Roofs. Roof elements, simple, complex. Solutions for complex roof with examples of neighbor, tower and inner courtyard.
- Helical and warped surfaces. Helical convolutions, hyperbolic paraboloid, rotating hyperboloid, conoid.
- Numerical projection. Point, straight line and plane in numerical projection.
- 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):
- 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