## MDG01 Methods of Descriptive Geometry I

Faculty of Science
Autumn 2022
Extent and Intensity
2/2/0. 4 credit(s). Type of Completion: zk (examination).
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
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Tue 16:00–17:50 M5,01013
• Timetable of Seminar Groups:
MDG01/01: Wed 10:00–11:50 M5,01013, J. Vondra
Prerequisites
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 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. Position and metric problems are solved. Immages of circles and solid bodies are constructed.
Learning outcomes
Student will be able to:
- display the circle, angular and rotary solids in the Monge projection method;
- to solve the position and metric tasks in the Monge projection method;
- in the Monge projection method, construct a cut of a rectangular or rotating solid.
Syllabus
• 1. Properties of parallel and central projections.
• 2. Affine mapping.
• 3. Affine mapping of a circle on an ellipse.
• 4. Orthogonal parallel projection; image of points, lines, plane and circles.
• 5. Position and metric problems.
Literature
recommended 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
• GARDNER, Martin. Matematičeskije čudesa i tajny : matematičeskije fokusy i golovolomki. Translated by V. S. Berman. Moskva: Nauka, 1964, 126 s. info
Teaching methods
Lecture with a seminar.
Assessment methods
Examination consists of two parts: written and oral.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
The course is also listed under the following terms Autumn 2020, Autumn 2024.
• Enrolment Statistics (Autumn 2022, recent)