Constructive Geometry

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Mathematics

Synopsis:

Projection and projection methods. Axonometry. Oblique projection, perpendicular axonometry, display of solids, cone, cylinder, pyramid, prism, sphere. Simple tasks in axonometry. Shading of geometric object and groups of objects in axonometry. Perspective projection. Curves, analytic description, Frenet frame, curvatures. Helical surfaces. Quadrics. One-sheeted hyperboloid of revolution. Hyperbolic paraboloid. Surfaces in civil engeneering. The use of spatial curves in design and art.

Requirements:

On site https://mat.fsv.cvut.cz/vyuka/bakalari/zs/KGSC/

Syllabus of lectures:

On site https://mat.fsv.cvut.cz/vyuka/bakalari/zs/KGSC/

Syllabus of tutorials:

On site https://mat.fsv.cvut.cz/vyuka/bakalari/zs/KGSC/

Study Objective:

The aim is to develop students' spatial imagination through basic projection methods with an emphasis on axonometry, Monge projection, linear perspective and photogrammetry.

The student can display and shade selected objects and basic surfaces.

Study materials:

!Černý, J., Kočandrlová, M.: Konstruktivní geometrie, monografie ČVUT, 2021

?Linkeová, I.: Constructive Geometry, ČVUT, 2019

Note:

Further information:

https://mat.fsv.cvut.cz/vyuka/bakalari/zs/KGSC/

No time-table has been prepared for this course

The course is a part of the following study plans:

• Scénické technologie (compulsory course in the program)