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Fundamentals of Applied Geometry

Type of study Bachelor
Language of instruction Czech
Code 342-3366/01
Abbreviation ZAG
Course title Fundamentals of Applied Geometry
Credits 2
Coordinating department Institute of Transport
Course coordinator doc. Ing. Dušan Teichmann, Ph.D.

Osnova předmětu

1. Repetition of knowledge of plane trigonometry - basic concepts, derivation of basic relations in conditions of plane trigonometry.
2. Basics of spherical trigonometry - basic concepts, properties of spherical triangle, derivation of basic relations in conditions of spherical trigonometry.
3. Position lines - derivation of basic mathematical relations for orthodrome.
4. Positional lines - derivation of basic mathematical relations for rhumb line (loxodrome).
5. Position lines - derivation of basic relations for the curve of the same orientations and the same distances.
6. Position lines - derivation of basic relations for the curve of equal differences and sums of distances.
7. Map projection - classification of cartographic projections.
8. Distortion of cartographic projections.
9. Azimuthal projection.
10. Conical projections.
11. Polyconical representations.
12. Cylindrical projections - perspective cylindrical projections.
13. Cylindrical projections - unpromising cylindrical projections.
14. Grid angles.

E-learning

lms.vsb.cz

Povinná literatura

PEARSON, F.: Map Projections: Theory and Applications. London: Taylor & Francis, 2020. ISBN 978-02-037-4812-1 

Doporučená literatura

BUGAYEVSKIY, L., M.; SNYDER, J.: Map Projections. London: Taylor & Francis, 1997. ISBN 978-04-291-5984-8