M1712 Parallel projections

Faculty of Science
Autumn 2011
Extent and Intensity
1/2. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Josef Janyška, DSc. (lecturer)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Josef Janyška, DSc.
Timetable
Thu 14:00–14:50 MS1,01016
  • Timetable of Seminar Groups:
M1712/01: Tue 14:00–15:50 MS1,01016, J. Vondra
Prerequisites
M2520 Geometry 1
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
Course objectives
It is the first lecture of the series of lectures on methods of descriptive geometry. In the lecture the survay 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.
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
  • KRAEMER, Emil. Zobrazovací metody : (promítání rovnoběžné). Praha: Státní pedagogické nakladatelství, 1991, s. 246-460. ISBN 8004217788. info
  • Urban A., Deskriptivní geometrie I, (2. vydání), SNTL Praha 1977
  • PISKA, Rudolf and Václav MEDEK. Deskriptivní geometrie. 2., rozš. a přeprac. vyd. Praha: SNTL - Nakladatelství technické literatury, 1972, 429 s. URL info
  • PISKA, Rudolf and Václav MEDEK. Deskriptivní geometrie. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1966, 313 s. URL info
  • Kadeřávek F., Klíma J., Kounovský J., Deskriptivní geometrie I
Teaching methods
Lecture and seminar.
Assessment methods
Written examination.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2015, autumn 2017, autumn 2021, Autumn 2023.
  • Enrolment Statistics (Autumn 2011, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2011/M1712