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

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

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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