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Descriptive Geometry

Type of study Bachelor
Language of instruction Czech
Code 230-0241/09
Abbreviation BcDg
Course title Descriptive Geometry
Credits 4
Coordinating department Department of Mathematics
Course coordinator Mgr. Dagmar Dlouhá, Ph.D.

Osnova předmětu

Syllabus of lectures:
1. Dimensioned projection - principle, depiction of basic figures, positional problems.
2. Dimensional projection - metric problems, circle representation.
3. Dimensioned projection - terrain solution.
4. Monge projection - principle and depiction of basic figures.
5. Rectangular axonometry and angular projections - principle and mapping of basic figures.
6. Constrained perspectives - principle and depiction of basic formations.
7. Cut prism by plane, mesh of body.
8. Curves - creation, distribution, accompanying triangular. Helix.
9. Surfaces - creation, distribution, tangent plane and normal. Rotating surfaces. Rotary quadrics.
10. Helical surfaces - straight, cyclic.
11. Line surfaces. Developable and undevelopable linear surfaces.
12. Conoids.
13. Conusoids.
14. Reserve.
Program of exercises and seminars + individual work of students

1. Theoretical solution of roofs.
2. Dimensional projection - basic tasks.
3. Dimensioned projection - metric problems, circle projection.
4. Dimensioned projection - terrain solution.
5. Monge projection - basic problems.
6. Rectangular axonometry and angular projections - roof representation.
7. One-point perspective of a room, two-point perspective of a building.
8. Cut prism by plane, mesh of body.
9. Projection of circle and helix.
10. Rotational quadrics.
11. Screw surfaces - stair surface, wound post.
12. Rotary warped hyperboloid. Hyperbolic paraboloid.
13. Conoids and conusoids.

E-learning

Povinná literatura

Vavříková, E.: Descriptive Geometry. VŠB-TU, Ostrava 2005. ISBN 80-248-1006-9.
Watts,E.F. - Rule,J.T.: Descriptive Geometry, Prentice Hall Inc., New York 1946.
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf

Doporučená literatura

Ryan, D. L.: CAD/CAE Descriptive Geometry. CRC Press 1992.
Pare, Loving, Hill: Deskriptive geometry, London, 1965.
http://mdg.vsb.cz/portal/