Descriptive Geometry

Type of study	Bachelor
Language of instruction	Czech
Code	230-0441/01
Abbreviation	DG
Course title	Descriptive Geometry
Credits	5
Coordinating department	Department of Mathematics
Course coordinator	Mgr. Dagmar Dlouhá, Ph.D.

Subject syllabus

1. Improper elements. Conics - basic concepts and focal properties.
2. Construction of ellipse, hyperbola and parabola from given elements.
3. The basic properties of projection. Parallel projection.
4. Central collineations and axial affinity in plane.
5. Projection with dimensions - view of point, line and plane.
6. Projection with dimensions - position tasks.
7. Projection with dimensions - metric problems.
8. Affine relationship between circle and ellipse. Projection of a circle in the projection with dimensions.
9. Orthogonal axonometry. Position tasks.
10. Metric problems and the projection of a circle in coordinate planes.
11. Elementary surfaces and solids. Basic concepts and properties.
12. Planar cut. Intersections with a line. Tangent plane.
13. Topographical surfaces.
14. Reserve.

E-learning

http://www.studopory.vsb.cz
http://mdg.vsb.cz
(in Czech language)

Literature

Vavříková,E.:Descriptive Geometry,VŠB – TU,Ostrava 2005, ISBN 80-248-1006-9.
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf
Černý, J.: Geometry. Praha: Vydavatelství ČVUT, 1996. ISBN 80-01-01535-1.
Stillwell, J.: Geometry of surfaces. New York: Springer, 1992. ISBN 0-387-97743-0.

Advised literature

Kreyszig, E.: Differential geometry. New York: Dover Publications, 1991. ISBN 0-486-66721-9.
Kobayashi, S.: Transformation groups in differential geometry. Berlin: Springer, 1972. Classics in mathematics. ISBN 3-540-05848-6.
Umehara, M. and Yamada, K.: Differential geometry of curves and surfaces. Kaiteiban. Translate Rossman, W.. Singapore: World Scientific, 2017. .
Falconer, K. J. Fractal geometry: mathematical foundations and applications. 3rd ed. Chichester: Wiley, 2014. ISBN 978-1-119-94239-9.

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