Constructive Geometry

Garant předmětu:

Hana Lakomá

Přednášející:

Hana Lakomá

Cvičící:

Hana Lakomá

Předmět zajišťuje:

katedra matematiky

Anotace:

Description of space and main methods of the projection - multiview projection as a basis for orientation in 3D CAD systems, axonometry, linear perspective. Surfaces in building practice - graphic law, geometric characteristic and image in appropriate projection, realization and application. Namely: Cylinders and Cones, Hyperboloid of Revolution, Helical Surfaces, Quadrics. Visualization of objects in 3D program SketchUp. Curves in building practice - types of mathematical description.

Požadavky:

Mandatory active participation in classes, a maximum of 3 excused absences.

Submission of semestral project within the prescribed period and quality (see Moodle).

Completion of the written exam work.

Osnova přednášek:

1. Graphic communication in construction practice, part of geometry in building process

2. Conic sections, important solids and surfaces - definition, application, modelling in SW SketchUp

3. Multiview projection - attributes, procedures, applications

4. Helix - attributes, construction, tangent line, applications

5. Helical surfaces - classification, application, construction, modelling in SW SketchUp

6. Axonometric projection - attributes, procedures, applications

7. Shades and shadows in axonometric projection

8. Quadrics - classification, applications, sketching

9. Quadrics - modelling in SW SketchUp

10. Perspective - attributes, procedures, applications

11. Perspective - solids and arcs, nets

12. Frenet Trihedron - calculation, application

13. Curvature and osculating circle - calculation, application

Osnova cvičení:

1. Graphic communication in construction practice, part of geometry in building process

2. Conic sections, important solids and surfaces - definition, application, modelling in SW SketchUp

3. Multiview projection - attributes, procedures, applications

4. Helix - attributes, construction, tangent line, applications

5. Helical surfaces - classification, application, construction, modelling in SW SketchUp

6. Axonometric projection - attributes, procedures, applications

7. Shades and shadows in axonometric projection

8. Quadrics - classification, applications, sketching

9. Quadrics - modelling in SW SketchUp

10. Perspective - attributes, procedures, applications

11. Perspective - solids and arcs, nets

12. Frenet Trihedron - calculation, application

13. Curvature and osculating circle - calculation, application

Cíle studia:

The first aim is to increase students' competence in techniques of space projection. The second aim is to present curves, solids, surfaces as part of civil engineering and architecture.

Studijní materiály:

Pottmann, H., Asperl, A., Hofer, M., Kilian, A.: Architectural Geometry, Bentley Institute Press, 2007, ISBN 978-1-934493-04-5

Linkeová I.: Constructive Geometry, Vydavatelství ČVUT, Praha, 2019, ISBN 978-80-01-05879-4

Vedlichová D.: Constructive Geometry, Nakladateľstvo STU v Bratislavě, 2012, ISBN 978-80-227-3645-9

Černý, J.: Geometry, Vydavatelství ČVUT, Praha, 1996, ISBN 80-01-01535-1

Grover, Ch.: Google SketchUp - The Missing Manual, O'Reilly Media, 2009, ISBN 978-0-596-52146-2

Study materials on web https://mat.fsv.cvut.cz/eng/bachelor/

Poznámka:

Další informace:

https://mat.fsv.cvut.cz/vyuka/bakalari/eng/zs/COGE/

Rozvrh na zimní semestr 2024/2025:

Rozvrh není připraven

Rozvrh na letní semestr 2024/2025:

Rozvrh není připraven

Předmět je součástí následujících studijních plánů:

• Civil Engineering (povinný předmět)
• Civil Engineering (povinný předmět)