Course detail

Descriptive geometry

FAST-AD8Acad. year: 2020/2021

Development of the cone and a cylinder of revolution and oblique one. Developable surfaces (e.g connecting a circle and an ellipse in a various planes) and their development (including targent and osculating circle for developed directrix curve). Surfaces of revolution, quadries of revolution, plane section and its tangent. Intersecting curves (for the case of parallel, intersecting and skew axes) and their tangents. Helicoidal surfaces (formed by lines or circles) Skew ruled surfaces, plane sections, tangents.One sheet hyperboloid, Hyperbolic paraboloid, conoids, Štramberská trúba, Montpelliers arc and Marseills arc. Applications to building practice.

Language of instruction

Czech

Number of ECTS credits

3

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Basics of 3D geometry and perspective affinity. Properties of parallel projection – good knowledge of Monge projection and orthogonal axonometry. Basic concepts of the theory of curves and surfaces, helixes.

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

Students should get an overview of some basic surfaces that can be used in civil engineering, acquaint themselves with simple constructions of such surfaces using Monge projection and orthogonal axonometry.

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
PISKA R., MEDEK V.: Deskriptivní geometrie, II. díl. SNTL Praha/Alfa Bratislava 1975

Recommended reading

Not applicable.

Type of course unit

 

Exercise

26 hours, compulsory

Teacher / Lecturer