| Course Unit Code | 310-2113/01 |
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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 | Summer 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 | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| BEL10 | Mgr. Jana Bělohlávková |
| JAH0037 | Mgr. Monika Jahodová, Ph.D. |
| VOT0032 | Mgr. Václav Votoupal |
| Summary |
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Focus properties of conic sections. The two-plane method. Perspective affinity.
Orthogonal axonometry. Orthogonal image of circle. Prismatic surface.
Cylindrical surface. Pyramidal surface. Conical surface. Central collineation.
Spherical surface. Surfaces of rotation. Quadrics of rotation. One-sheet
hyperboloid of rotation. Circular helix. 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
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| Course Contents |
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The program of lectures
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1 Introduction to constructive geometry, axial affinity
2 Monge projection – position tasks
3 Monge projection - metric tasks
4 Orthogonal axonometry - basic position tasks
5 Orthogonal projection of the circle (trammel construction, Rytz construction)
6 Views of circle in the projection plane (ax.) and in a general plane (MP)
7 Prism surface, cylindrical surface – cut by a plane
8 Central collineations, pyramid surface – cut by a plane
9 Conical surface, sphere – cut by a plane perpendicular to the projection plane.
10 Intersections of a line and solids
11 Helix, screw surfaces
12 Surfaces of revolution - creation, application
13 Intersections of surfaces of revolution
14 Reserve
Program of exercises and seminars + individual students' work
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1 A focal properties of conic sections - ellipse, hyperbola, parabola
2 Construction of elements of the conics
3 Basic position tasks in Monge projection
4 Basic metric tasks in Monge projection
5 Basic position tasks at orthogonal axonometry
6 Views of circle; constructions of a prism and pyramid out from given elements
7 Construction of a sphere, cylinder and cone from given elements
8 Cuts of a prism, pyramid, and cylinder by a plane
9 Cut of a sphere by a plane, intersection of line and the solid
10 Design and layout of helix
11 Screw ruled surfaces - the classification, tangent plane
12 Surfaces of revolution - the development, construction of the tangent plane
13 Intersections of surfaces of revolution
14 Reserve
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| Recommended or Required Reading |
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| Required Reading: |
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Černý, J.: Geometry. Vydavatelství ČVUT,Praha 1996,ISBN 80-01-01535-1
Kargerová, M.: Geometry and Computer Graphics. Praha 1998, ISBN 80-01-01816-4
Vavříková, E.: Descriptive geometry. Ostrava: VŠB - Technical University of Ostrava, 2005. ISBN 80-248-1006-9.
Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry. New Jersey, 1997, ISBN0-02-391341-X
Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry Worksheets with Computer Graphics. New Jersey, 1997, ISBN 0-02-391342-8.
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Doležal, M.: Základy deskriptivní a konstruktivní geometrie, díl 3.: Mongeovo promítání. Skriptum VŠB - TU, Ostrava 1997.
Poláček, J.: Základy deskriptivní a konstruktivní geometrie, díl 4.: Pravoúhlá axonometrie. Skriptum VŠB - TU, Ostrava 1996.
Plocková, E.: Základní úlohy z deskriptivní a konstruktivní geometrie (pracovní listy). Skriptum VŠB-TU Ostrava, 1998.
Doležal, M. - Poláček, J.: Základy deskriptivní a konstruktivní geometrie, díl 5: Křivky a plochy technické praxe. Ostrava 1999
Vavříková, E.: Descriptive geometry. Ostrava: VŠB - Technical University of Ostrava, 2005. ISBN 80-248-1006-9.
|
| Recommended Reading: |
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| https://archive.org/details/technicaldrawin00gies |
Plocková, E. - Řehák, M.: Sbírka řešených příkladů z DG a KG, díl 3.: Mongeovo promítání. Skriptum VŠB - TU, Ostrava 1995.
Stejskalová, J. - Vrbenská, H.: Sbírka řešených příkladů z DG a KG, díl 4.: Axonometrie. Skriptum VŠB - TU, Ostrava 1995.
Urban, A.: Deskriptivní geometrie I, II, Praha, SNTL, 1967.
Doležal, M. - Poláček, J. - Tůma, M.: Sbírka řešených příkladů z DG a KG, díl 5.: Rotační a šroubové plochy. Skriptum VŠB - TU, Ostrava 1995.
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| 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 | 20 | 5 |
| Examination | Examination | 80 (80) | 30 |
| Praktická část | Written test | 60 | 25 |
| Teoretická část | Oral examination | 20 | 5 |