Descriptive Geometry

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Course Unit Code230-0241/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
CER0007Mgr. František Červenka
Summary
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
• 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
1. Parallel projection. Improper objects. Axial affinity in plane.
2. Monge projection: representation of point, line and plane, the basic position problems.
3. Monge projection: the basic metric problems, displaying of circle.
4. Orthogonal axonometry: principles and representation of point, line and plane, the basic position problems.
5. Orthogonal axonometry: object in coordinate or parallel plane, notch method.
6. Curves - the creation, distribution, movement frame. Circular helix.
7. Surfaces: describing, classification, tangent plane and normal.
8. Screw surfaces - ruled, cyclical.
9. Surfaces of revolution. Second degree surfaces of revolution.
10. Ruled surfaces. Developable and skew ruled surfaces.
11. One-sheet hyperboloid of rotation.
12. Hyperbolic paraboloid. Conoids.
13. Other surfaces suitable for civil engineering.
14.Reserve.
Recommended or Required Reading
Required Reading:
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
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.
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf
Doležal, M. – Poláček, J.: Základy deskriptivní a konstruktivní geometrie, díl 5: Křivky a plochy technické praxe.
Ostrava, VŠB – TU 1999.
Recommended Reading:
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.
http://mdg.vsb.cz/portal/
Planned learning activities and teaching methods
Lectures, Individual consultations, Tutorials, Other activities
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit20 5
        ExaminationExamination80 (80)30
                Písemná zkouškaWritten examination60 25
                Ústní zkouškaOral examination20 5