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### Descriptive geometry

 Code: 61549 ECTS: 7.0 Lecturers in charge: prof. dr. sc. Juraj Šiftar - Lectures Lecturers: prof. dr. sc. Juraj Šiftar - Exercises English level: 1,0,0 All teaching activities will be held in Croatian. However, foreign students in mixed groups will have the opportunity to attend additional office hours with the lecturer and teaching assistants in English to help master the course materials. Additionally, the lecturer will refer foreign students to the corresponding literature in English, as well as give them the possibility of taking the associated exams in English.

### 1. komponenta

Lecture typeTotal
Lectures 45
Exercises 30
Description:
COURSE AIMS AND OBJECTIVES:
The main aim of theis course is to develop basic principles of presenting the images of geometric objects, i.e. figures and solids of a three dimensional space, on a two dimensional plane (methods of projecting). Besides, student will get acquainted with a standard computer drawing software.

COURSE DESCRIPTION AND SYLLABUS:
1. Introduction. Perspective affinity and collineation in a plane. Ellipse as an affine image of a circle. Conics as collinear images of a circle.
2. Monge projection. Horizontal, frontal and profile planes. Plan, frontal and profile view. The projection of a point and a line. True length of a segment. True size of an angle between a line and a principal plane. Traces of a plane. Special lines in a plane. Problems concerning position. Problems concerning metrics. Side view. Rotation. Figures in a general plane. Visibility. Solids in a special position. Solids in a general position. Plane intersections of a solid. Rectification of an arc. Developments. Intersections of two solids.
3. Axonometry. Oblique axonometry. Trace triangle and reduction ratios. Other types of axonometry: orthogonal axonometry. Oblique projection.
Literature:
1. V. Niče: Deskriptivna geometrija 1, 2
2. D. Palman: Nacrtna geometrija
3. Z. Kurnik, D. Palman, B. Pavković: Zadaci iz nacrtne geometrije. Mongeova projekcija
4. I. Babić, S. Gorjanc, A. Sliepčević, V. Szirovicza: Nacrtna geometrija - zadaci
5. I. Babić, S. Gorjanc, A. Sliepčević, V. Szirovicza: Konstruktivna geometrija - zadaci
 1. semester Mandatory course - Regular study - Mathematics Education
Consultations schedule: