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Compendium of Constructive Geometry

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code714-0332/02
Number of ECTS Credits Allocated1 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *First Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
CER0007Mgr. František Červenka
Summary
Repetition from the constructive geometry is designed for students who need to explain more closely the subject matter of geometry. The content of the course is identical with the content of the geometry. An accent is given onto solving of the examples that were part of the unsuccessful examination. The course includes: construction of the basic bodies in the Monge’s projection and orthogonal axonometry, their plane sections and point of intersections with line, helix and helical surfaces and rotation surfaces.The course is devoted to students that did not pass the examination from the descriptive geometry. The content of the course is identical with the content of the descriptive geometry. An accent is given onto solving of the examples that were part of the unsuccessful examination. The course includes: construction of the basic bodies in the Monge’s projection and orthogonal axonometry, their plane sections and point of intersections with line, helix and helical surfaces and rotation 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 Monge projection
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

Recommended or Required Reading
Required Reading:
Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005, ISBN 80-248-1006-9
1/ Doležal, M.: Základy deskriptivní a konstruktivní geometrie, díl 3.:
Mongeovo promítání, Skriptum VŠB - TU, Ostrava 1997.ISBN 80-7078-465-2
2/ Poláček, J.: Základy deskriptivní a konstruktivní geometrie, díl 4.:
Pravoúhlá axonometrie, Skriptum VŠB - TU, Ostrava 1996.ISBN 80-7078-388-5
3/ Plocková, E. - Řehák, M.: Sbírka řešených příkladů z DG a KG, díl 3. -
Mongeovo promítání. Skriptum VŠB - TU, Ostrava 1995.ISBN 80-7078-262-5
4/ Stejskalová, J. - Vrbenská, H.: Sbírka řešených příkladů z DG a KG, díl 4. -
Axonometrie. Skriptum VŠB - TU, Ostrava 1995.ISBN 80-248-0407-7
5/ Plocková, E.: Základní úlohy z deskriptivní a konstruktivní geometrie
(pracovní listy). Skriptum VŠB-TU Ostrava, 1998.ISBN 80-7078-127-0
6/ Doležal, M. - Poláček, J. - Tůma, M.: Sbírka řešených příkladů z DG a KG,
díl 5. - Rotační a šroubové plochy. Skriptum VŠB - TU, Ostrava 1995.ISBN 80-7078-282-X
7/ Doležal, M. - Poláček, J.: Základy deskriptivní a konstruktivní geometrie,
díl 5: Křivky a plochy technické praxe, Ostrava 1999.ISBN 80-7078-689-2
8/ www.studopory.vsb.cz
Recommended Reading:
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
Urban, A.: Deskriptivní geometrie I, II, Praha, SNTL, 1967.
Medek, V. - Zámožík, J.: Konstr. geom. pre technikov, ALFA,
Bratislava, 1978.
http://mdg.vsb.cz/M
Planned learning activities and teaching methods
Individual consultations, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Exercises evaluationCredit