Course detail

Descriptive geometry (G1)

FAST-1A0Acad. year: 2019/2020

Conic sections - affinity and collineation. The basic problems in perpendicular projection one plane.
Monge´s projection, the basic problems, transformation of plane of projection. Plane section using affinity and collineation. Points of intersection of the basic solids and a line. Axonometry, position problems, metric problems in coordinate planes. Skuhersky´s method, cutting method in axonometry. Oblique projection. Ratio of division, cross ratio. Perspective projection (elementary examples).

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

RNDr. Květoslava Prudilová

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Basics if the secondary school geometry.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

1. Extended Euclidean space. Ratio and cross ratio. Perspective collineation, perspective affinity. Curve affine to a circle.
2. Constructing an ellipse based on affinity. Colinear image of a circle. Coted projection I.
3. Coted projection II.
4. Coted projection III.
5. Monge projection I.
6. Monge projection II. Axonomery classes.
7. Orthogonal axonometry I.
8. Orthogonal axonometry II. Skew projection.
9. Central projection.
10. Linear perspective I.
11. Linear perspetive II.
12. Linear perspective III.
13. Reconstructing an object from a vertical picture.

Work placements

Not applicable.

Aims

Since the academic year 2004/205, this course is no longer offered.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

H. BRAUNER, W.KICKINGER: Baugeometrie, band 2. Bauverlag GMBH-Wiesbaden und Berlin
HOLÁŇ, Š., HOLÁŇOVÁ, L.: Cvičení z deskriptivní geometrie II. VUT Brno 1994
P. TALANDA: Deskr. geometrie pro obor geodezie a kartografie. VUT Brno, CERM 1999
R. PISKA, V. MEDEK: Deskriptivní geometrie II díl. SNTL Praha, Alfa Bratislava 1975

Recommended reading

Not applicable.

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

RNDr. Květoslava Prudilová

Exercise

26 hod., compulsory

Teacher / Lecturer

RNDr. Květoslava Prudilová