Course detail
Descriptive Geometry
FAST-AA002Acad. year: 2022/2023
Orthogonal axonometry, skew axonometry, oblique projection. Linear perspective, basics of photogrammetry. Helix, developable helicoidal surface, right closed rule helicoidal surface. Surfaces of revolution . Warped surfaces. Lighting. Teoretical designs of roofs. Introduction to topographic surfaces.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
1. Basics of lihting. Technical lighting.
2. Surfaces of revolution, sections of surfaces of revolution.
3. Lighting of surfaces of revolution .
4. Axonometry – basics.
5. Orthogonal axonometry.
6. Skew axonometry, oblique projection.
7. Linear perspective.
8. Linear perspective.
9. Basics of photogrammetry. Reconstruction from a vertical picture.
10. Warped quadrics. Hyperbolic paraboloid. One-sheet hyperboloid.
11. Higher order warped surfaces. Theoretical designe of roofs.
12. Helix, developable helicoidal surface, helicoidal conoid.
13. Topographic surfaces.
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
BULANTOVÁ, Jana, MENCÁKOVÁ, Kristýna, MORÁVKOVÁ, Blanka, RÝPAROVÁ, Lenka, ŠAFAŘÍK, Jan, ZRŮSTOVÁ, Lucie: Sbírka řešených příkladů z konstruktivní geometrie, Fakulta stavební VUT v Brně, 2021. https://www.geogebra.org/m/ejhn4jay (CS)
BULANTOVÁ, Jana, PRUDILOVÁ, Květoslava, PUCHÝŘOVÁ, Jana, ROUŠAR, Josef, ROUŠAROVÁ, Veronika, SLABĚŇÁKOVÁ, Jana, ŠAFAŘÍK, Jan, ŠAFÁŘOVÁ, Hana, ZRŮSTOVÁ, Lucie: Sbírka řešených příkladů z deskriptivní geometrie pro I. ročník Stavební fakulty Vysokého učení technického v Brně, Fakulta stavební VUT v Brně, 2006. https://mat.fce.vutbr.cz/studium/geometrie/ (CS)
BULANTOVÁ, Jana, PRUDILOVÁ, Květoslava, ROUŠAR, Josef, ŠAFAŘÍK, Jan, ZRŮSTOVÁ, Lucie: Sbírka zkouškových příkladů z deskriptivní geometrie pro I. ročník Stavební fakulty Vysokého učení technického v Brně, Fakulta stavební VUT v Brně, 2009. https://mat.fce.vutbr.cz/studium/geometrie/ (CS)
ČERNÝ, Jaroslav: Geometry, Vydavatelství ČVUT, Praha 1996. ISBN: 80-01-01535-1 (CS)
ŠAFAŘÍK, Jan: Techniské osvětlení, Fakulta stavební VUT v Brně, 2022. https://mat.fce.vutbr.cz/studium/geometrie/ (CS)
Recommended reading
Classification of course in study plans
- Programme B-P-C-APS (N) Bachelor's
branch APS , 1 year of study, winter semester, compulsory
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
1. Basics of lihting. Technical lighting.
2. Surfaces of revolution, sections of surfaces of revolution.
3. Lighting of surfaces of revolution .
4. Axonometry – basics.
5. Orthogonal axonometry.
6. Skew axonometry, oblique projection.
7. Linear perspective.
8. Linear perspective.
9. Basics of photogrammetry. Reconstruction from a vertical picture.
10. Warped quadrics. Hyperbolic paraboloid. One-sheet hyperboloid.
11. Higher order warped surfaces. Theoretical designe of roofs.
12. Helix, developable helicoidal surface, helicoidal conoid.
13. Topographic surfaces.
Exercise
Teacher / Lecturer
Syllabus
1. Revision – Monge projection.
2. Projections of a simple bodies and surfaces, their sections and intersections with a straight line. Technical lighting.
3. Tangent plane of a surface of revolution, section of a surface of revolution.
4. Lighting of a surface of revolution.
5. Orthogonal axonometry. Metric problems in coordinate planes.
6. Orthogonal axonometry. Projections of simple bodies and surfaces, their sections and intersections with a straight line.
7. Projecting in oblique projection. Projection of a circle in a coordinate plane. Displaying simple bodies. Cutting method.
8. Linear perspective. Intersection method. Constructing a free perspective.
9. Linear perspective. Method of rotated ground plan. Other methods of projecting a perspective.
10. Linear perspective. Vertical picture. Reconstructing an object from a perpendicular picture.
11. Warped hyperboloid, construction. Hyperbolic paraboloid. Hyperbolic paraboloid given by skew tetragon. Roofing by hyperbolic paraboloid.
12. Higher-order warped surfaces. Theoretic design of roofs.
13. Constructing a helix. Right helicoidal conoid. Credits.