Gurantor department | Department of Mathematics | Credits | 4 |

Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | Mgr. Dagmar Dlouhá, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | winter |

Study language | English | ||

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

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

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

BEL10 | Mgr. Jana Bělohlávková | ||

DLO44 | Mgr. Dagmar Dlouhá, Ph.D. | ||

VOL18 | RNDr. Jana Volná, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

• 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.
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf

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

Questions:
Center projection - basic properties.
Parallel projection - basic properties.
Ellipsis - definition, focal properties, strip construction.
Hyperbola - definition, focal properties.
Dish - definition, focal properties.
Theoretical solution of roofs - basic terms and constructions.
Listed projection - principle and basic terms.
Monge's projection - principle and basic terms.
Rectangular axonometry - principle and basic terms.
Angular projections - principle and basic terms.
Linear perspectives - principle and basic terms.
Cut a prism.
Display a circle in projections.
Helix - creation, basic terms, accompanying triangular.
Rotational surfaces - creation, basic terms, tangent plane.
Rotational quadratic surfaces - creation, distribution.
Helical surfaces - creation, basic terms, classification.
Stair surface - creation, use.
Wound post - creation, use.
Rotary warped hyperboloid - creation, properties, use.
Developable linear surfaces - classification, use.
Warped line faces - creation, properties.
Conoids - control units, examples, applications.
Examples of warped surfaces in construction practice (oblique passage area, Štramberk trumpet, Montpellier and Marseilles)
arc).
Requirements for granting the credit and exam
Conditions for granting the credit:
- participation in exercises (20% of absences can be excused),
-submission of credit work in the required quality.
The student receives 5 points for attendance and submission of credit work.
Additional points (0 to 30) can be obtained by elaborating homework in the given term.
In total, it is possible to get a maximum of 35 points.
The minimum number of points for credit is 5.
Exam:
Combined
Practical part max. 55 points.
Theoretical part max. 10 points.
Total max. 65 points.
Students must pass in each part of the combined exam:
In the practical part they must obtain at least 25 points, in the theoretical part at least 5 points.
Score is obtained by adding points from exercises (max. 35) and exam (max. 65) and graded:
Earned points Score
86 - 100 excellent
66 - 85 very well
51 - 65 well
0 - 50 failed

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

At least 80% attendance at the exercises. Absence, up to a maximum of 20%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

Subject has no prerequisities.

Subject has no co-requisities.

Syllabus of lectures:
1. Dimensioned projection - principle, depiction of basic figures, positional problems.
2. Dimensional projection - metric problems, circle representation.
3. Dimensioned projection - terrain solution.
4. Monge projection - principle and depiction of basic figures.
5. Rectangular axonometry and angular projections - principle and mapping of basic figures.
6. Constrained perspectives - principle and depiction of basic formations.
7. Cut prism by plane, mesh of body.
8. Curves - creation, distribution, accompanying triangular. Helix.
9. Surfaces - creation, distribution, tangent plane and normal. Rotating surfaces. Rotary quadrics.
10. Helical surfaces - straight, cyclic.
11. Line surfaces. Developable and undevelopable linear surfaces.
12. Conoids.
13. Conusoids.
14. Reserve.
Program of exercises and seminars + individual work of students
1. Theoretical solution of roofs.
2. Dimensional projection - basic tasks.
3. Dimensioned projection - metric problems, circle projection.
4. Dimensioned projection - terrain solution.
5. Monge projection - basic problems.
6. Rectangular axonometry and angular projections - roof representation.
7. One-point perspective of a room, two-point perspective of a building.
8. Cut prism by plane, mesh of body.
9. Projection of circle and helix.
10. Rotational quadrics.
11. Screw surfaces - stair surface, wound post.
12. Rotary warped hyperboloid. Hyperbolic paraboloid.
13. Conoids and conusoids.
14. Reserve.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points | Max. počet pokusů |
---|---|---|---|---|

Credit and Examination | Credit and Examination | 100 (100) | 51 | |

Credit | Credit | 35 | 5 | |

Examination | Examination | 65 (65) | 30 | 3 |

Písemná zkouška | Written examination | 55 | 25 | |

Ústní zkouška | Oral examination | 10 | 5 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: Mandatory participation in the course is not required. Other conditions for subject completion will respect the individual needs of the student.

Show history

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2024/2025 | (B0732A260002) Civil Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2023/2024 | (B0732A260002) Civil Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0732A260002) Civil Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2021/2022 | (B0732A260002) Civil Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0732A260002) Civil Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0732A260002) Civil Engineering | P | English | Ostrava | 1 | Compulsory | study plan |

Block name | Academic year | Form of study | Study language | Year | W | S | Type of block | Block owner |
---|

Předmět neobsahuje žádné hodnocení.