Course Unit Code | 714-0575/01 |
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Number of ECTS Credits Allocated | 5 ECTS credits |
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Type of Course Unit * | Choice-compulsory |
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Level of Course Unit * | First Cycle |
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Year of Study * | Second 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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| DLO44 | Mgr. Dagmar Dlouhá, Ph.D. |
Summary |
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Ideal elements. Conics. Basic terms, focal properties. Basic properties of
projection. Parallel projection. Axial affinity in plane. Orthogonal projection
with heights. Positional tasks. Metric tasks. The projection of a circle.
Rectangular axonometry. Positional tasks. Metric tasks and the projection of a
circle onto the coordinate planes. Elementary surfaces and solids. Basic terms
and properties. Plane section. Intersections with a line. Tangent planes.
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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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1. Improper elements. Conics - basic concepts and focal properties.
2. Construction of ellipse, hyperbola and parabola from given elements.
3. The basic properties of projection. Parallel projection.
4. Central collineations and axial affinity in plane.
5. Projection with dimensions - view of point, line and plane.
6. Projection with dimensions - position tasks.
7. Projection with dimensions - metric problems.
8. Affine relationship between circle and ellipse. Projection of a circle in the projection with dimensions.
9. Orthogonal axonometry. Position tasks.
10. Metric problems and the projection of a circle in coordinate planes.
11. Elementary surfaces and solids. Basic concepts and properties.
12. Planar cut. Intersections with a line. Tangent plane.
13. Topographical surfaces.
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 |
Restl,Č.-Doležal,J.: Kótované promítání a topografické plochy, Ostrava, VŠB - TU 2004. ISBN 80-248-0651-7
Poláček,J.: Základy deskriptivní a konstruktivní geometrie, díl 4, Pravoúhlá
axonometrie, Ostrava, VŠB - TU 1996. ISBN 80-7078-388-5
Urban,A.:Deskriptivní geometrie I,SNTL,Praha 1965
Drábek,K.-Harant,F.-Setzer,O.: Deskriptivní geometrie I,Praha SNTL 1978. ISBN 04-011-78
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Recommended Reading: |
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Vavříková,E.:Descriptive Geometry, Ostrava, VŠB – TU 2005. ISBN 80-248-1006-9 |
Plocková,E.: Sbírka řešených příkladů z deskriptivní a konstruktivní geometrie, díl I, Ohniskové vlastnosti kuželoseček. Ostrava, VŠB-TU 1994, ISBN 80-7078-263-3
Cholevová,I.- Lubojacký,B. - Restl,Č.: Sbírka řešených příkladů
z deskriptivní a konstruktivní geometrie, díl 2, Kótované promítání. Ostrava, VŠB-TU 1998. ISBN 80-7078-276-5
Dudková,K. - Hamříková,R.: Kuželosečky, kolineace. Ostrava, VŠB-TU 2005. ISBN 80-248-0766-1
Doležal,J. - Poláček,J.: Pravoúhlá axonometrie - sbírka řešených úloh. Ostrava, VŠB-TU 2013. ISBN 979-80-248-2989-0
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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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Exercises evaluation and Examination | Credit and Examination | 100 (100) | 51 |
Exercises evaluation | Credit | 20 | 5 |
Examination | Examination | 80 (80) | 30 |
Written examination | Written examination | 60 | 25 |
Oral | Oral examination | 20 | 5 |