Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 5 |

Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | RNDr. Jiří Poláček, CSc. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | Czech | ||

Year of introduction | 1999/2000 | Year of cancellation | 2019/2020 |

Intended for the faculties | FAST | Intended for study types | Bachelor |

Instruction secured by | |||
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Login | Name | Tuitor | Teacher giving lectures |

POL12 | RNDr. Jiří Poláček, CSc. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

Part-time | Credit and Examination | 14+0 |

• 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

Lectures

Individual consultations

Tutorials

Other activities

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.

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. Dostupné na www:

Ryan, D. L.: CAD/CAE Descriptive Geometry. CRC Press 1992.
Pare, Loving, Hill: Deskriptive geometry, London, 1965.

programs checking,
practical and oral examination.
Questions
1. Parallel projection - basic characteristics.
2. Ellipse - definition, the focal properties, trammel construction.
3. Hyperbola - definition, the focal properties.
4. Parabola - definition, the focal properties.
5. Theoretical solutions of roofs - basic notions and constructions.
6. Monge projection - principles and basic notions.
7. Orthogonal axonometry - principles and basic notions.
8. The notch method in orthogonal axonometry.
9. Displaying of circle in Monge projection and axonometry (in a coordinate or parallel plane).
10. Curves - the creation, distribution, movement frame.
11. Helix - the creation, basic concepts, movement frame.
12. Surfaces - the creation, distribution, tangent plane and normal.
13. Surfaces of revolutions - the creation, basic notions, tangent plane.
14. Rotating quadrics - the creation, distribution.
15. Skew hyperboloid of two sheets - the creation, characteristics, application.
16. Ruled surfaces - the creation, distribution, types of straight line on surface.
17. Developable ruled surfaces- distribution, application.
18. Skew ruled surfaces, the creation, characteristics.
19. Hyperbolic paraboloid - the creation, characteristics, applications.
20. Conoids - the creation, examples, applications.
21. Examples of the skew ruled surfaces in the building practices (surface of diagonal pass, surface of Stramberk Tower, Montpellier and Marseille arc).
22. Screw surfaces - the creation, basic notions, distribution.
23. Stair surface, coiled column - the creation, applications.

http://www.studopory.vsb.cz
http://mdg.vsb.cz
(in Czech language)

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Subject has no prerequisities.

Subject has no co-requisities.

Parallel projection. Improper objects. Axial affinity in plane.
Monge projection: representation of point, line and plane, the basic position problems. Monge projection: the basic metric problems, displaying of circle.
Orthogonal axonometry: principles and representation of point, line and plane, the basic position problems.
Orthogonal axonometry: object in coordinate or parallel plane, notch method.
Curves - the creation, distribution, movement frame. Circular helix.
Surfaces: describing, classification, tangent plane and normal.
Screw surfaces - ruled, cyclical.
Surfaces of revolution. Second degree surfaces of revolution.
Ruled surfaces. Developable and skew ruled surfaces.
One-sheet hyperboloid of rotation. Hyperbolic paraboloid. Conoids.
Other surfaces suitable for civil engineering.

Conditions for completion are defined only for particular subject version and form of study

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2011/2012 | (B3607) Civil Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2010/2011 | (B3607) Civil Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2009/2010 | (B3607) Civil Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2008/2009 | (B3607) Civil Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2007/2008 | (B3607) Civil Engineering | (3607R999) Společné studium FAST | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2006/2007 | (B3607) Civil Engineering | (3607R999) Společné studium FAST | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B3607) Civil Engineering | (3607R999) Společné studium FAST | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2005/2006 | (B3651) Stavební inženýrství | (3651R999) Společné studium FAST | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2004/2005 | (B3651) Stavební inženýrství | (3651R999) Společné studium FAST | K | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2003/2004 | (B3651) Stavební inženýrství | (3651R999) Společné studium FAST | K | Czech | Ostrava | 1 | Compulsory | study plan |

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