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

Subject guarantor | Mgr. František Červenka | Subject version guarantor | Mgr. Jana Bělohlávková |

Study level | undergraduate or graduate | ||

Study language | English | ||

Year of introduction | 2016/2017 | 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 |

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

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

1/ Plocková, E. - Řehák, M.: Sbírka řešených příkladů z DG a KG, díl 3. -
Mongeovo promítání. Skriptum VŠB - TU, Ostrava 1995.
2/ Stejskalová, J. - Vrbenská, H.: Sbírka řešených příkladů z DG a KG, díl 4. -
Axonometrie. Skriptum VŠB - TU, Ostrava 1995.
3/ Urban, A.: Deskriptivní geometrie I, II, Praha, SNTL, 1967.
4/ Doležal, M. - Poláček, J. - Tůma, M.: Sbírka řešených příkladů z DG a KG,
díl 5. - Rotační a šroubové plochy. Skriptum VŠB - TU, Ostrava 1995.

Course credit
========================================================
To obtain a credit the student has to submit 3 drawings. Student can get 12 points for attendance of the lectures and another 8 points for properly solved homework. A maximum of 20 points.
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.
Point quantification in the interval 100 - 91, 90 - 81, 80 - 71, 70 - 61, 60 - 51, 50 - 0
ECTS grade A B C D E F
Point quantification in the interval 100 - 86 85 - 66 65 - 51 51 - 0
National grading scheme excellent very good satisfactory failed
A set of topics for the theoretical part of the exam
========================================================
1) Monge projection – position tasks.
2) Monge projection - metric tasks.
3) Orthogonal axonometry - basic position tasks.
4) Orthogonal projection of a circle (Rytz construction).
5) Monge projection - views of a circle in a general plane.
6) Prism surface – cut by a plane.
7) Cylindrical surface – cut by a plane.
8) Pyramid surface – cut by a plane.
9) Construction of a sphere, cut of a sphere by a plane, intersection of line and solid.
10) Focal properties of conics - ellipse, hyperbola, parabola.
11) Construction of conics.
12) Surfaces of revolution - development, application, construction of the tangent plane.
13) Surfaces of revolution - quadrics - development, application, construction of the tangent plane.
14) Intersections of surfaces of revolution.
15) Intersections of quadrics.
16) Design and layout of helix.
17) Screw ruled surfaces - the classification, tangent plane.

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 |
---|---|---|---|

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

Credit | Credit | 20 | 5 |

Examination | Examination | 80 (80) | 30 |

Written exam | Written examination | 60 | 25 |

Oral exam | Oral examination | 20 | 5 |

Show history

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

2018/2019 | (B2341) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2017/2018 | (B2341) Engineering | P | English | Ostrava | 1 | Compulsory | study plan | |||||

2016/2017 | (B2341) 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 | |
---|---|---|---|---|---|---|---|---|---|

ECTS - MechEng - Bachelor Studies | 2019/2020 | Full-time | English | Choice-compulsory | 301 - Study and International Office | stu. block | |||

ECTS - MechEng - Bachelor Studies | 2018/2019 | Full-time | English | Choice-compulsory | 301 - Study and International Office | stu. block |