Course detail

Descriptive geometry

FAST-AD7Acad. year: 2020/2021

Foci properties of conic sections, affinity and collineation and their use in descriptive geometry. Monges projection, position and metric problems. Projection of solids (given by conditions) in general position. Axonometry - classification. Ortogonal axonometry -position problems, metrix problems only in coordinate planes. Points of intersection of a line and solid, plane sections of a prism, cylinder, cone, pyramid and sphere. Perspective projection - basic methods, projection of a circle and an arbitrary object. Theory of space curves (helix). Solids and its solving in Monges projection and axonometry.

Language of instruction

Czech

Number of ECTS credits

5

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Basic knowledge of planar and 3D geometry as taught at secondary schools and basic skills of work with a ruler and pair of compasses.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

Time schedule will be determined on the basis of the test assessments.

Work placements

Not applicable.

Aims

The students should learn the basics of projection methods used in engineering practice and develop their space visualization.

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

ČERNÝ J., KOČANDRLOVÁ M.: Konstruktivní geometrie. ČVUT Praha 1998
DRABEK K., HARANT F., SETZER O.: Deskriptivní geometrie, I.díl. SNTL Praha/Alfa Bratislava 1978
PISKA R., MEDEK V.: Deskriptivní geometrie, I.díl. SNTL Praha/Alfa Bratislava 1975

Recommended reading

Not applicable.

Type of course unit

 

Exercise

52 hours, compulsory

Teacher / Lecturer