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

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

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | Czech | ||

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 | ||

CER0007 | Mgr. František Červenka | ||

H1O40 | Mgr. Iveta Cholevová, Ph.D. | ||

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

DOL75 | Mgr. Jiří Doležal | ||

VAV14 | RNDr. Eva Vavříková, Ph.D. |

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

Form of study | Way of compl. | Extent |

Part-time | Credit and Examination | 12+4 |

• 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.

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

No more requirements.

Subject has no prerequisities.

Subject has no co-requisities.

Lectures:
I Introduction to constructive geometry, axial affinity, Monge projection – position tasks,
Monge projection - metric tasks
II Orthogonal axonometry - basic position tasks, Orthogonal projection of the circle (trammel construction, Rytz construction)
III Views of circle in the projection plane (ax.) and in a general plane (MP), Prism surface, cylindrical surface – cut by a plane
IV Central collineations, pyramid surface – cut by a plane
V Conical surface, sphere – cut by a plane perpendicular to the projection plane, Intersections of a line and solids
VI Helix, screw surfaces, Surfaces of revolution - creation, application, Intersections of surfaces of revolution

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

2020/2021 | (B0715A270011) Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2020/2021 | (B0715A270011) Engineering | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2020/2021 | (B0715A270011) Engineering | K | Czech | Uherský Brod | 1 | Compulsory | study plan | |||||

2020/2021 | (B0713A070002) Energetics and Environments | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B2341) Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B2341) Engineering | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2019/2020 | (B2341) Engineering | K | Czech | Uherský Brod | 1 | Compulsory | study plan | |||||

2019/2020 | (B0715A270011) Engineering | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0715A270011) Engineering | K | Czech | Šumperk | 1 | Compulsory | study plan | |||||

2019/2020 | (B0715A270011) Engineering | K | Czech | Uherský Brod | 1 | Compulsory | study plan | |||||

2019/2020 | (B0713A070002) Energetics and Environments | K | Czech | Ostrava | 1 | Compulsory | study plan | |||||

2019/2020 | (B0715A040001) Transport Systems and Equipment | K | Czech | Ostrava | 1 | Compulsory | study plan |

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