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Lecturer(s)
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Výrut Radek, Mgr.
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Tomiczková Světlana, RNDr. Ph.D.
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Course content
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Projections, methods of representation, properties of parallel and orthogonal projections. Axial affinity, central collineation. Monge's projection - properties. Monge's projection - representation of simple objects. Curves - circles, conic sections, helices. Curvatures, parametric description of curves. General axonometry, oblique projection. Orthogonal axonometry. Representation of elementary solids and sections through them. Surfaces of revolution, quadrics of revolution. Helical surfaces. Rectilinear surfaces. Linear perspective.
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Learning activities and teaching methods
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Lecture supplemented with a discussion, Lecture with practical applications
- Contact hours
- 65 hours per semester
- Preparation for an examination (30-60)
- 40 hours per semester
- Undergraduate study programme term essay (20-40)
- 40 hours per semester
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| prerequisite |
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| Knowledge |
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| In this course we suppose knowledge of high school geometry. |
| Skills |
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| použít Pythagorovu větu |
| použít v konstrukcích Thaletovu větu |
| pracovat se základními geometrickými objekty (přímka, rovina, kružnice, mnohoúhelník) |
| pracovat se základními geometrickými vztahy (kolmost, rovnoběžnost, incidence) |
| Competences |
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| N/A |
| N/A |
| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| two types of projection methods (Monge projection and axonometry) |
| basic constructions in the listed projection methods |
| constructions of elementary solids in the listed projection methods |
| ecognition of objects in the listed projections (location, shape, and size of the object) and relative position with respect to a straight line and a plane |
| the concept of conic sections (including the various types of conic sections), helix and other selected curves |
| the concepts of axial affinity and central collineation and their application in examples |
| basic types of surfaces (rotational, helical, linear) |
| Skills |
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| can identify a given imaging method and its basic elements |
| carries out basic designs for individual imaging methods |
| represents the solid defined by the specifying elements in Monge's projection |
| represents the solid defined by the specifying elements in axonometry |
| is able to use conic section constructions (constructing conic sections and tangents), and other curves, in particular helices |
| carry out basic constructions on surfaces (sections, tangent planes) |
| Competences |
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| N/A |
| teaching methods |
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| Knowledge |
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| Lecture supplemented with a discussion |
| Interactive lecture |
| Skills |
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| Practicum |
| Individual study |
| Competences |
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| Lecture |
| Practicum |
| Self-study of literature |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Skills |
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| Combined exam |
| Competences |
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| Combined exam |
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Recommended literature
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Drs, Ladislav. Deskriptivní geometrie pro střední školy II. 1. vyd. Praha: Prometheus, 1996. ISBN 80-7196-025-X.
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Drs, Ladislav. Deskriptivní geometrie pro střední školy I. 1. vyd. Praha: Prometheus, 1994. ISBN 80-85849-66-6.
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Kriegelstein, Eduard; Kriegelstein, Martin. Deskriptivní geometrie : Učebnice pro 1. roč. SPŠ stud. oboru Geodézie. Díl 1.. 1. vyd. Praha: Geodetický a kartografický podnik, 1988.
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Kriegelstein, Eduard; Kriegelstein, Martin. Deskriptivní geometrie : Učebnice pro 2. roč. SPŠ stud. oboru Geodézie. Díl 2.. 1. vyd. Praha: Geodetický a kartografický podnik, 1988.
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Pottmann, Helmut; Asperl, Andreas; Hofer, Michael; Kilian, Axel. Architectural Geometry. 2006. ISBN 978-0-934493-04-5.
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Urban, Alois. Deskriptivní geometrie 1. Praha: Státní nakladatelství technické literatury, 1967.
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