Constructive Geometry

Lecturer:

Hana Lakomá (gar.), Jana Čápová

Tutor:

Hana Lakomá (gar.), Jana Čápová

Supervisor:

Department of Mathematics

Synopsis:

The course is an introduction to basics of constructive geometry. It deals with projections (axonometric projection and perspective), solids, curves and surfaces. Besides classical descriptive geometrical methods the analytical methods are applied. Practical applications are taken from different engineering areas.

Requirements:

none

Syllabus of lectures:

1. Overview of viewing methods.

2. Axonometry.

3. Oblique projection.

4. Solids, Platonic solids, polyhedra.

5. Shading.

6. Perspective.

7. Perspective of a circle.

8. Curves - examples, helix.

9. Surfaces - examples, different types of the analytic description.

10. Quadrics.

11. Hyperbolic paraboloid and its applications.

12. Ruled surfaces.

13. Transformations in plane.

14. Transformations in space.

Syllabus of tutorials:

Study Objective:

Students have a good knowledge of projective methods, axonometry, displaying selected solids and lighting. They can use perspective. Students know curves and are able to calculate torsion and curvature. They can identify and use quadrics.

Study materials:

Černý, J.: Geometry, Vydavatelství ČVUT, 1996. Bohne E., Klix W.D.: Geometrie - Grundlagen für Anwendungen, Fachbuchverlag Leipzig - Koln, 1995., Otto, F.: Zugbenaschpruchte Konstruktionen, Verlaag Ullstein, Frankfurt-Berlin, 1962.

Note:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon	roomTH:C-221 Lakomá H. 10:00–11:50 (lecture parallel1) Thákurova 7 (FSv-budova A) C221roomTH:C-221 Lakomá H. 14:00–15:50 (lecture parallel1 parallel nr.139) Thákurova 7 (FSv-budova A) C221
Tue
Fri
Thu
Fri

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: