Constructive Geometry
Kód | Zakončení | Kredity | Rozsah | Jazyk výuky |
---|---|---|---|---|
101CG01 | Z,ZK | 5 | 2P+2C | anglicky |
- 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:
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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)