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

Subject guarantor | RNDr. Milan Doležal, CSc. | Subject version guarantor | RNDr. Milan Doležal, CSc. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 1 | Semester | summer |

Study language | Czech | ||

Year of introduction | 2006/2007 | Year of cancellation | 2011/2012 |

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 | ||

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

DOL75 | Mgr. Jiří Doležal | ||

DOL10 | RNDr. Milan Doležal, CSc. | ||

DUD88 | Mgr. Krista Dudková | ||

GUT53 | Mgr. Pavla Güttnerová | ||

HAM73 | Mgr. Radka Hamříková, Ph.D. | ||

SKA74 | Mgr. Sylvie Skalníková | ||

VAV14 | RNDr. Eva Vavříková, Ph.D. |

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

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+3 |

• 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.

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005, ISBN 80-248-1006-9

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

http://www.studopory.vsb.cz
http://mdg.vsb.cz

Další požadavky nejsou kladeny.

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

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

Exercises evaluation | Credit | 20 (20) | 0 |

Written exam | Written test | 10 | 0 |

Other task type | Other task type | 10 | 0 |

Examination | Examination | 80 (80) | 0 |

Written examination | Written examination | 60 | 0 |

Oral | Oral examination | 20 | 0 |

Show history

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

2010/2011 | (B2341) Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2010/2011 | (B2341) Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2009/2010 | (B2341) Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2009/2010 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | |||

2009/2010 | (B2341) Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2009/2010 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | |||

2008/2009 | (B2341) Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||||

2008/2009 | (B2341) Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan | ||||

2007/2008 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Šumperk | 1 | Compulsory | study plan | ||

2007/2008 | (B2341) Engineering | (2341R999) Bachelor Mechanical Engineering | (00) Bachelor Machanical Engineering | P | Czech | Ostrava | 1 | Compulsory | study plan |

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