Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |

Subject guarantor | Mgr. Monika Jahodová, Ph.D. | Subject version guarantor | Mgr. Monika Jahodová, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | English | ||

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

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

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

Login | Name | Tuitor | Teacher giving lectures |

BEL10 | Mgr. Jana Bělohlávková | ||

JAH0037 | Mgr. Monika Jahodová, 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

Focus properties of conic sections. The two-plane method. Perspective affinity.
Orthogonal axonometry. Orthogonal image of circle. Prismatic surface.
Cylindrical surface. Pyramidal surface. Conical surface. Central collineation.
Spherical surface. Surfaces of rotation. Quadrics of rotation. One-sheet
hyperboloid of rotation. Circular helix. Spiral surfaces.

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
Vavříková, E.: Descriptive geometry. Ostrava: VŠB - Technical University of Ostrava, 2005. ISBN 80-248-1006-9.
Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry. New Jersey, 1997, ISBN0-02-391341-X
Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry Worksheets with Computer Graphics. New Jersey, 1997, ISBN 0-02-391342-8.

https://archive.org/details/technicaldrawin00gies

Course credit
========================================================
To obtain the credit the student has to gain 5 points out of 20 for properly solved homeworks.
Exam
========================================================
Written part of an exam is classified by 0 - 60 points. The part is successful if student obtains at least 25 points.
Oral part of the exam is classified by 0 - 20 points. The part is successful if student obtains at least 5 points.

www.studopory.vsb.cz

There are no more requirements.

Subject has no prerequisities.

Subject has no co-requisities.

The program of lectures
=================
1 Introduction to constructive geometry, axial affinity
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
Program of exercises and seminars + individual students' work
================================================== ======
1 A focal properties of conic sections - ellipse, hyperbola, parabola
2 Construction of elements of the conics
3 Basic position tasks in Monge projection
4 Basic metric tasks in Monge projection
5 Basic position tasks at orthogonal axonometry
6 Views of circle; constructions of a prism and pyramid out from given elements
7 Construction of a sphere, cylinder and cone from given elements
8 Cuts of a prism, pyramid, and cylinder by a plane
9 Cut of a sphere by a plane, intersection of line and the solid
10 Design and layout of helix
11 Screw ruled surfaces - the classification, tangent plane
12 Surfaces of revolution - the development, construction of the tangent plane
13 Intersections of surfaces of revolution
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 | 20 | 5 | |

Examination | Examination | 80 (80) | 30 | 3 |

Practic part | Written examination | 60 | 25 | |

Teoretic part | Oral examination | 20 | 5 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: Handing in homework on the due dates.

Show history

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

2023/2024 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2023/2024 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2022/2023 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2021/2022 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2021/2022 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B2341) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0715A270012) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0713A070003) Energetics and Environments | P | English | Ostrava | 1 | Compulsory | study plan |

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

ECTS - MechEng - Bachelor Studies | 2020/2021 | Full-time | English | Choice-compulsory | 301 - Study and International Office | stu. block |

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