## MDG03 Methods of Descriptive Geometry 3

Faculty of Science
Autumn 2023
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Josef Janyška, DSc. (lecturer)
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 14:00–15:50 M5,01013
• Timetable of Seminar Groups:
MDG03/01: Tue 14:00–15:50 M5,01013, J. Vondra
Prerequisites
M1710 Methods of Descriptive Geometry 1. and M2710 Methods of Descriptive Geometry 2.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to master the imaging methods "Central Projection" and "Linear Perspective". In these imaging methods, the positional and metric problems are solved, circle, rectangular and rotating bodies are displayed, sections of rectangular and rotating bodies are constructed, and illumination of rectangular and rotating bodies are constructed (own and drop shadow). The course supports spatial imagination of students.
Learning outcomes
Student will be able to:
- imagine circle, square, and rotating bodies in central projection;
- solving positional and metric problems in the central projection;
- in the central projection, construct a plane section of a rectangular or rotating body;
- to imagine circles, rectangular and rotating bodies in a free linear perspective;
- to construct linear perspective of spatial objects from Moge projection;
- to solve positional and metric problems in free linear perspective;
- in a linear perspective, to construct a plane section of a rectangular or rotating body;
- in a linear perspective, to construct its own and drop shadow of a rectangular or rotary body;
- reconstruct a spatial object from a one-point or three-point linear perspective.
Syllabus
• Central projection:
• - display of points, lines, planes;
• - positional problems and metric problems;
• - display of circle, rectangular and rotating bodies;
• - construction of planar sections of rectangular and rotating bodies.
• Linear perspective;
• - free linear perspective, one-point, two-point and three-point method (perspective axonometry);
• - positional and metric problems in a free linear perspective;
• - bound perspective;
• - illumination and mirroring in a linear perspective.
• Fundamentals of constructive photogrammetry, reconstruction of spatial object from 2 and 3-poin linear perspective.
Literature
recommended literature
• Urban A., Deskriptivní geometrie I (2.vydání), SNTL Praha 1977
• KadeřávekF.,Klíma J.,Kounovský J.,Deskriptivní geometrie I.(3.vydání), ČSAV Praha 1946
• MACHALA, František. Středové promítání a lineární perspektiva. Vyd. 2. Olomouc: Rektorát Univerzity Palackého v Olomouci, 1992, 132 s. ISBN 8070671653. info
• 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
Teaching methods
Lecture with a seminar.
Assessment methods
Examination consists of two parts: written and oral.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
The course is taught once in two years.
The course is also listed under the following terms autumn 2021.
• Enrolment Statistics (recent)