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Lecturer(s)
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Chodorová Marie, RNDr. Ph.D.
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Course content
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Stereometry and Dimensional Projection. 1. Fundamentals of stereometry for the descriptive geometry: Position properties, metric properties, surfaces and solids. 2. Projections, mapping methods, theoretical bases of the parallel projection, orthogonal projection. 3. Projective extension of the E space, improper formations, axial affinity and collineation, application of affinity and the collineation. 4. Theoretical bases of the dimensioned projection, mappings of points, straight lines and planes. Basic position and metric problems in the dimensioned projection. Mappings of the basic angulated solids, problems on angulated solids. Application of the dimensioned projection. 5. Theorerical bases of the Monge mapping, mappings of points, straight lines and planes. Basic position and metric problems in the Monge mapping. Transformations of the projection planes and their application. Mappings of basic angulated solids in the Monge mapping, exercises about angulated solids. Application of the Monge mapping. 6. Theoretical bases of the orthogonal axonometry, mappings of points, straight lines and planes. Basic position and metric problems in the orthogoval axonometry. Mappings of basic angulated solids, problems on angulated solids. Application of the orthogonal axonometry.
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Learning activities and teaching methods
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Monologic Lecture(Interpretation, Training), Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration
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Learning outcomes
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Mapping of threedimensional configurations into the plane, square solids and task on square solids.
1. Knowledge Describe properties of some kinds of projection from the 3-dimensional space to the plane
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Prerequisites
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unspecified
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Assessment methods and criteria
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Written exam, Student performance, Analysis of Activities ( Technical works)
Credit: Student draws 20 examples by pencil and 2 features by ink. Exam: the student has to understand the subject and be able to make the important constructions.
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Recommended literature
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Machala F., Sedlářová M., Srovnal. (2002). Konstrukční geometrie. UP Olomouc.
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Piska R. Medek M. (1966). Deskriptivní geometrie I. SNTL Praha.
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Pomykalová, E. (2012). Deskriptivní geometrie pro SŠ. Prometheus.
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Urban A. (1949). Deskriptivní geometrie I. JČMF Praha.
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