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Constructive Geometry

Type of study Bachelor
Language of instruction English
Code 310-2113/03
Abbreviation KG
Course title Constructive Geometry
Credits 4
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator Mgr. Monika Jahodová, Ph.D.

Subject syllabus

The program of lectures
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1 Introduction to constructive geometry, axial affinity
2 Monge projection – position tasks
3 Monge projection - metric tasks
4 Orthogonal axonometry - basic position tasks
5 Orthogonal projection of the circle (trammel construction, Rytz construction)
6 Views of circle in the projection plane (ax.) and in a general plane (MP)
7 Prism surface, cylindrical surface – cut by a plane
8 Central collineations, pyramid surface – cut by a plane
9 Conical surface, sphere – cut by a plane perpendicular to the projection plane.
10 Intersections of a line and solids
11 Helix, screw surfaces
12 Surfaces of revolution - creation, application
13 Intersections of surfaces of revolution
14 Reserve

Program of exercises and seminars + individual students' work
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1 A focal properties of conic sections - ellipse, hyperbola, parabola
2 Construction of elements of the conics
3 Basic position tasks in Monge projection
4 Basic metric tasks in Monge projection
5 Basic position tasks at orthogonal axonometry
6 Views of circle; constructions of a prism and pyramid out from given elements
7 Construction of a sphere, cylinder and cone from given elements
8 Cuts of a prism, pyramid, and cylinder by a plane
9 Cut of a sphere by a plane, intersection of line and the solid
10 Design and layout of helix
11 Screw ruled surfaces - the classification, tangent plane
12 Surfaces of revolution - the development, construction of the tangent plane
13 Intersections of surfaces of revolution
14 Reserve

E-learning

www.studopory.vsb.cz

Literature

Černý, J.: Geometry. Vydavatelství ČVUT,Praha 1996,ISBN 80-01-01535-1
Kargerová, M.: Geometry and Computer Graphics. Praha 1998, ISBN 80-01-01816-4
Vavříková, E.: Descriptive geometry. Ostrava: VŠB - Technical University of Ostrava, 2005. ISBN 80-248-1006-9.
Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry. New Jersey, 1997, ISBN0-02-391341-X 
Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry Worksheets with Computer Graphics. New Jersey, 1997, ISBN 0-02-391342-8 .