Course title | Applications of Descriptive Geometry |
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Course code | KAG/ADG |
Organizational form of instruction | Seminary |
Level of course | Bachelor |
Year of study | not specified |
Semester | Summer |
Number of ECTS credits | 2 |
Language of instruction | Czech |
Status of course | Compulsory |
Form of instruction | Face-to-face |
Work placements | This is not an internship |
Recommended optional programme components | None |
Lecturer(s) |
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Course content |
1. Cartography: Basic concepts. Plane projection - polar, equatorial, common. Projections - gnomonical, stereographical, scenographical, orthographical. Cylindrical projection - normal cylindrical projection, imitation of the Lambert projection. Braun conic projection. 2. Cyklography: Basic concepts, mapping of points, lines, plains, incidence of points, lines and plains. Relative position of lines and plains. Intersection of cycles, sets of centres of cycles tangent to two given cycles. Solving Pappos and Apollonios problems by means of the cyklography. 3. Kinematic geometry in a plane: Isometric mappings, basic concepts. The funfamental theorem of kinematic geometry. Curves of foots of perpendiculars. Trochoid movement, the second fundamental theorem of kinematic geometry. Movements - elliptical, kardiodical, conchoidal, cyclic, evolventical, epicykloidal, hypocykloidal and pericyklical. Curves of technical practice - cissoid, strofoid, helixes, the Bernoulli leminiskata.
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Learning activities and teaching methods |
Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration, Projection (static, dynamic) |
Learning outcomes |
To master basic of cartography as application of central drawing, cyklography - non-linear drawing and kinematic geometry in plane.
3. Aplication Students apply their knowledge from imaging methods on subjects associated with practical development |
Prerequisites |
unspecified
KAG/ZME5 and KAG/GZME3 |
Assessment methods and criteria |
Student performance, Analysis of Activities ( Technical works)
Credit: the student has to turn in assigned homework. |
Recommended literature |
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Study plans that include the course |
Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
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Faculty: Faculty of Science | Study plan (Version): Descriptive Geometry for Education (2019) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Summer |