Course detail

Descriptive geometry

FAST-1A7Acad. year: 2020/2021

Basics of central projection. Linear perspective. Skew projection. Military axonometry. Warped surfaces, basics. Warped quadrics, hyperbolic paraboloid. Higher-order warped surfaces, circular and parabolic conoid, Montpelier´s and Marseille´s arc. Cyclic helicoidal surfaces.

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

Constructing conics using their focal properties. Perspective affinity, perspective collineation. Monge projection, orthogonal axonometry. Basics of teh theory of curves and surfaces, helix, helicoidal surfaces.

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. Basics of central projection.
2. Lineární perspective I.
3. Lineární perspektiva II.
4. Lineární perspektiva III.
5. Cellar ground plan.
6. Skew projection. Military axonometry.
7. Warped surfaces. Warped quadrics. Hyperbolic paraboloid.
8. Roofing by hyperbolic paraboloid.
9. Higher order warped surfaces – circular and parabolic conoid.
10. Montpellier and Marseilles arc.
11. Cyclic helicoidal surfaces I.
12. Cyclic helicoidal surfaces II.
13. Archimedes curve.

Work placements

Not applicable.

Aims

Since the academic year 2004/2005 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

HOLÁŇ, Š., HOLÁŇOVÁ, L.: Cvičení z deskr.geometrie II,III. VUT Brno 1997
KADEŘÁVEK, F., KLÍMA, J., KOUNOVSKÝ, J.: Deskriptivní geometrie I,II. Přírodovědecké naklad. Praha 1950
MEDEK, V., ZÁMOŽÍK, J.: Konstruktívna geometria pre technikov. SNTL 1978
VALA, J.,: Deskriptivní geometrie I,II. VUT Brno 1997

Recommended reading

PISKA, R., MEDEK,V.: Deskriptivní geometrie I,II. SNTL 1972

Type of course unit

 

Exercise

26 hod., compulsory

Teacher / Lecturer

RNDr. Květoslava Prudilová