| Course Unit Code | 230-0241/05 |
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| Number of ECTS Credits Allocated | 4 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | There are no prerequisites or co-requisites for this course unit |
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| Name of Lecturer(s) | Personal ID | Name |
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| BEL10 | Mgr. Jana Bělohlávková |
| DLO44 | Mgr. Dagmar Dlouhá, Ph.D. |
| Summary |
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The basic properties of the projection. Central collineation, perspective
affinity. The mapping projection, the Monge’s projection, the orthogonal
axonometry. Elementary surfaces and solid. Circular helix and moving trihedral.
Surfaces of revolution, quadrics of revolution. The ruled surfaces, the
evelopable and especially the skew ruled surfaces. Spiral surfaces. |
| Learning Outcomes of the Course Unit |
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• to train development of space abilities
• to handle by different types of projection methods, to understand to their principles, to be familiar with their
properties, advantages and disadvantages
• to acquaint with geometric characteristics of curves and surfaces that are used in technical practice of a given
specialization |
| Course Contents |
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Syllabus of lectures:
1. Dimensioned projection - principle, depiction of basic figures, positional problems.
2. Dimensional projection - metric problems, circle representation.
3. Dimensioned projection - terrain solution.
4. Monge projection - principle and depiction of basic figures.
5. Rectangular axonometry and angular projections - principle and mapping of basic figures.
6. Constrained perspectives - principle and depiction of basic formations.
7. Cut prism by plane, mesh of body.
8. Curves - creation, distribution, accompanying triangular. Helix.
9. Surfaces - creation, distribution, tangent plane and normal. Rotating surfaces. Rotary quadrics.
10. Helical surfaces - straight, cyclic.
11. Line surfaces. Developable and undevelopable linear surfaces.
12. Conoids.
13. Conusoids.
14. Reserve.
Program of exercises and seminars + individual work of students
1. Theoretical solution of roofs.
2. Dimensional projection - basic tasks.
3. Dimensioned projection - metric problems, circle projection.
4. Dimensioned projection - terrain solution.
5. Monge projection - basic problems.
6. Rectangular axonometry and angular projections - roof representation.
7. One-point perspective of a room, two-point perspective of a building.
8. Cut prism by plane, mesh of body.
9. Projection of circle and helix.
10. Rotational quadrics.
11. Screw surfaces - stair surface, wound post.
12. Rotary warped hyperboloid. Hyperbolic paraboloid.
13. Conoids and conusoids.
14. Reserve. |
| Recommended or Required Reading |
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| Required Reading: |
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Vavříková, E.: Descriptive Geometry. VŠB-TU, Ostrava 2005. ISBN 80-248-1006-9.
Watts,E.F. - Rule,J.T.: Descriptive Geometry, Prentice Hall Inc., New York 1946.
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf |
Doležal, J.: Základy geometrie, VŠB-TU Ostrava, 2007, ISBN: 80-248-1202-9.
Doležal, J.: Geometrie, VŠB-TU Ostrava, 2007, ISBN: 978-80-248-1318-9.
Dlouhá, D., Červenka, F.: Geometrie na počítači, VŠB-TU Ostrava, 2013.
http://mdg.vsb.cz
|
| Recommended Reading: |
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Ryan, D. L.: CAD/CAE Descriptive Geometry. CRC Press 1992.
Pare, Loving, Hill: Deskriptive geometry, London, 1965.
http://mdg.vsb.cz/portal/ |
Urban, A.: Deskriptivní geometrie I, II. Praha, SNTL 1965, 1967.
Piska, R. – Medek, V.: Deskriptivní geometrie I, II. Praha, SNTL 1966.
Drábek, K. - Harant, F. - Setzer, O.: Deskriptivní geometrie I, II. Praha, SNTL 1978, 1979.
Plocková, E. - Řehák, M.: Sbírka řešených příkladů z DG a KG, díl 3. – Mongeovo promítání. Ostrava, VŠB - TU 1995.
Doležal, J. - Poláček, J.: Pravoúhlá axonometrie - sbírka řešených úloh.
Ostrava, VŠB - TU 2013. ISBN 978-80-248-2989-0.
Doležal, M. - Poláček, J. - Tůma, M.: Sbírka řešených příkladů z DG a KG,
díl 5. - Rotační a šroubové plochy. Ostrava, VŠB – TU 1995.
Dudková, K. - Hamříková, R.: Kuželosečky, kolineace. Ostrava, VŠB - TU 2005.
Černý, J. – Kočandrlová, M.: Konstruktivní geometrie. Praha, ČVUT 1998.
Doležal, M.: Základy deskriptivní a konstruktivní geometrie, díl 3.: Mongeovo
promítání. Ostrava, VŠB – TU 1997.
Poláček, J.: Základy deskriptivní a konstruktivní geometrie, díl 4.: Pravoúhlá axonometrie. Ostrava, VŠB – TU 1996.
Doležal, M. – Poláček, J.: Základy deskriptivní a konstruktivní geometrie, díl 5: Křivky a plochy technické praxe.
Ostrava, VŠB – TU 1999.
http://mdg.vsb.cz/portal/ |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials, Other activities |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 35 | 5 |
| Examination | Examination | 65 (65) | 30 |
| Písemná zkouška | Written examination | 55 | 25 |
| Ústní zkouška | Oral examination | 10 | 5 |