Course: Applications of Descriptive Geometry

» List of faculties » PRF » KAG
Course title Applications of Descriptive Geometry
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)
  • Juklová Lenka, RNDr. Ph.D.
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.

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
  • Fiala F. (1965). Matematická kartografie. ČSAV Praha.
  • L. Juklová. (2013). Aplikace deskriptivní geometrie. Základy kartografie a cyklografie.. VUP Olomouc.
  • Seifert L. (1965). Cyklografie. ČSAV Praha.
  • Urban A. (1967). Deskriptivní geometrie II. SNTL Praha.
  • Urban A. (1949). Deskriptivní geometrie I. JČMF Praha.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Descriptive Geometry for Education (2019) Category: Mathematics courses 3 Recommended year of study:3, Recommended semester: Summer