Lecturer(s)
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Chodorová Marie, RNDr. Ph.D.
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Sapáková Persefoni, Mgr.
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Course content
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1. Stereometry. Positional and metric characteristics of fundamental geometric formations, mutual position, parallelism, distance, angle deviation, perpendicularity - definition, property criterions. 2. Elementary surfaces and solids. Convex solids and Platon's solids. 3. Parallel projection - basic characteristic and invariant parallel projection, special characteristics of rectangular projection. 4. Axial affinity in space and plane, characteristics, picture circle in axial affinity. Collineation - conception, basic characteristic. 5. Volitional parallel projection - basic characteristic, mapping of square and round solids. Cut of solids with plane, points of intersection straight line with solid, solving cubic constructional exercise. 6. The Monge projection - basic concepts, mapping of points, straight lines and planes. Positional and metric exercises. Mapping of simple elements use fundamental positional and metric exercises.
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Learning activities and teaching methods
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Lecture, Work with Text (with Book, Textbook)
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Learning outcomes
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Identification with basic characteristics of geometric formations and the basic characteristics of some parallel projections.
1. Knowledge Students describe geometric constructions and mappings in space.
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Prerequisites
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unspecified
KAG/MKOG2
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Assessment methods and criteria
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Oral exam, Written exam, Analysis of Activities ( Technical works)
Credit: turn in three drawings and one model of a solid, homework from hour to hour. Exam: the student has to understand the subject and be able to solve assigned problems.
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Recommended literature
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https://kag.upol.cz/homepage_chodorova/konstrukcni-geometrie-2-rocnik-zs/.
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současné středoškolské učebnce planimetrie a stereometrie.
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Machala F., Sedlářová M., Srovnal. (2002). Konstrukční geometrie. UP Olomouc.
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