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 | ||

Study language | English | ||

Year of introduction | 2018/2019 | Year of cancellation | 2020/2021 |

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

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

CER0007 | Mgr. František Červenka | ||

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

DOL75 | Mgr. Jiří Doležal | ||

POL12 | RNDr. Jiří Poláček, CSc. |

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

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

• foster the development of spatial imagination
• master different types of imaging methods, understand their principles, know their properties, advantages and disadvantages
• become familiar with the geometric properties of curves and surfaces used in technical practice

Lectures

Individual consultations

Tutorials

Other activities

Descriptive geometry is a practical discipline that, with its methods and structure, tries to significantly contribute to the development of spatial imagination, creative abilities and logical thinking. In the first part, he introduces students to all commonly used imaging methods that can be useful for the practice of an architect. The task of the second part is to get acquainted with geometric properties and the use of various curves and surfaces. The selection and scope of the material is focused on technically significant curves and surfaces with regard to their practical application in construction fields. For graphic work, hand drawing is preferred, where students can demonstrate their sense of accuracy, patience, honesty and aesthetic sense.

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005
http://mdg.vsb.cz/portal/

Requirements for the credit and examination
Conditions for granting credit:
attendance at seminars,
delivery of compensatory work in the required quality,
The submission of compensatory work, a student obtains 5 p.
Other points (0-15) is available by drawing up additional assignments.
This provides a total workout can receive a maximum of 20 points.
Exam:
Combined
The practical part - maximum of 60 points.
The theoretical part - maximum of 20 points.
Total maximum of 80 points.
Students must succeed in every part of the combined test:
in the practical part must get at least 25 points and in the theoretical part of at least 5 points.
The score is the sum of points obtained from exercise (20) and test (maximum 80) and is classified as follows:
Points Grade
86-100 excellent
66-85 very good
51-65 well
0-50 fail
Theoretical questions follow the outline of lectures
1st range of issues - some of the principle of memorized screening methods
2nd range of issues - some geometric properties of memorized curves and surfaces

At least 70% attendance at the exercises. Absence, up to a maximum of 30%, 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.

The program of lectures
1. Parallel projection, coordinate system. Projection with dimensions – basic units view, slope, intersection of
two planes, rotation of a plane.
2. Monge projection - basic units view, positional and metric problems.
3. Orthogonal axonometry - basic units view, the notch method.
4. Oblique projection - basic units view, military and cavalier perspective. Improper objects. Basic concepts of
central projection.
5. Linear perspective - basic concepts, bound methods.
6. Curves - a general introduction. Circle, ellipse.
7. Another conics. Helix.
8. Surfaces. Surface of revolution, rotational quadrics.
9. Screw surfaces - ruled, cyclical.
10. Ruled surfaces. Developable ruled surfaces. Skew surfaces, skew quadrics.
11. Conoids, conusoids and other skew surfaces.
12. Transition, wedge surfaces and other surfaces of building practices.
13. Cuts, surface intersections, the vault - samples of specific examples.
14. Reserve

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

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