# PřF:MDG01 Methods of Descript. Geom. I - Course Information

## MDG01 Methods of Descriptive Geometry I

**Faculty of Science**

Autumn 2024

**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 **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**- Teaching of Technical Drawing for Secondary Schools (programme PřF, N-UCD)
- Teaching of Mathematics for Secondary Schools (programme PřF, N-UCM) (2)

**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**- 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

*recommended literature*- KRAEMER, Emil.
**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)**- The course is taught once in two years.

The course is taught: every week.

- Enrolment Statistics (recent)

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