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Constructive geometry

Type of study Bachelor
Language of instruction English
Code 230-0243/02
Abbreviation KG
Course title Constructive geometry
Credits 3
Coordinating department Department of Mathematics
Course coordinator doc. Mgr. Dagmar Dlouhá, Ph.D.

Subject syllabus

1. Dimensional projection
2. Monge projection
3. Axonometry (oblique, rectangular)
4. Linear perspective (constrained, free)
5. 2D curves (tangent, osculating circle, curvature)
6. Conic sections (ellipse, parabola, hyperbola)
7. Cycloid, chain, clothoid, Bernoulli lemniscate
8. 3D curves (Frenet triangle, helix)
9. Translation surfaces
10. Rotational and screw surfaces
11. Line surfaces, Hyperbolic paraboloid
12. Collapsed surfaces (conoids, conusoids)
13. Wedge surfaces, Channel surfaces

E-learning

Literature

Vavříková, E.: Descriptive Geometry. VŠB-TU, Ostrava 2005. ISBN 80-248-1006-9.
Woolf, S.: An Elementary Course In Descriptive Geometry, 2007. ISBN: 978-1603860604 

Advised literature

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