PřF:M3710 Methods of Descript. Geom. 3 - Course Information

M3710 Methods of Descriptive Geometry 3

The course is not taught in Autumn 2022

Extent and Intensity

2/2. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Taught in person.

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

Prerequisites

M1710 Methods of Descriptive Geometry 1. and M2710 Methods of Descriptive Geometry 2.

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

• Upper Secondary School Teacher Training in Descriptive Geometry (programme PřF, N-MA)

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
• KadeřávekF.,Klíma J.,Kounovský J.,Deskriptivní geometrie I.(3.vydání), ČSAV Praha 1946
• Urban A., Deskriptivní geometrie I (2.vydání), SNTL Praha 1977
• MACHALA, František. Středové promítání a lineární perspektiva. Online. Vyd. 2. Olomouc: Rektorát Univerzity Palackého v Olomouci, 1992. 132 s. ISBN 8070671653. [citováno 2024-04-23] info
• PISKA, Rudolf and Václav MEDEK. Deskriptivní geometrie.. Online. 2., rozš. a přeprac. vyd. Praha: SNTL - Nakladatelství technické literatury, 1972. 429 s. [citováno 2024-04-23] URL info
• PISKA, Rudolf and Václav MEDEK. Deskriptivní geometrie.. Online. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1966. 313 s. [citováno 2024-04-23] 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)

The course is taught once in two years.
The course is taught: every week.

• Enrolment Statistics (Autumn 2022, recent)
  
• Permalink: https://is.muni.cz/course/sci/autumn2022/M3710