M1712 Parallel projections

Faculty of Science
autumn 2017
Extent and Intensity
1/2. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
RNDr. Jan Vondra, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 18. 9. to Fri 15. 12. Wed 10:00–10:50 M5,01013
  • Timetable of Seminar Groups:
M1712/01: Mon 18. 9. to Fri 15. 12. Wed 11:00–12:50 M5,01013, J. Vondra
Prerequisites
M2520 Geometry 1 &&! M1710 Methods of Descript. Geom. I
Good space imagination and basic knowledge of stereometry is supposed.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
there are 11 fields of study the course is directly associated with, display
Course objectives
It is the first lecture of the series of lectures on methods of descriptive geometry. In the lecture the survey of all methods used in descriptive geometry is given. General properties of parallel and central projections are studied. The Monge projection is studied in details.
Learning outcomes
At the end of the course the student will be able to:
understand the principle of projection space into the plane;
construct basic constructions in Monge projection;
solve spatial problems in parallel projections.
Syllabus
  • Properties of parallel and central projections. Affine mapping. Affine mapping of a circle on an ellipse. Orthogonal parallel projection; Image of points, lines, plane and circles. Position and metric problems.
Literature
  • HARANT, Michal and Oldřich LANTA. Deskriptivní geometrie pro II. ročník SVVŠ. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1965, 283 s. info
  • POMYKALOVÁ, Eva. Deskriptivní geometrie pro střední školy. 1. vyd. Praha: Prometheus, 2010, 350 s. ISBN 9788071964001. info
  • URBAN, Alois. Deskriptivní geometrie. Praha: Státní nakladatelství technické literatury, 1965, 365 s. URL info
  • PISKA, Rudolf and Václav MEDEK. Deskriptivní geometrie. 2., rozš. a přeprac. vyd. Praha: SNTL - Nakladatelství technické literatury, 1972, 429 s. URL info
  • KRAEMER, Emil. Zobrazovací metody : (promítání rovnoběžné). Praha: Státní pedagogické nakladatelství, 1991, s. 246-460. ISBN 8004217788. info
Teaching methods
Lecture and seminar.
Assessment methods
Written examination.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught once in two years.
The course is also listed under the following terms Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2015, autumn 2021, Autumn 2023.
  • Enrolment Statistics (autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2017/M1712