Course detail

Descriptive geometry (G2)

FAST-1A1Acad. year: 2018/2019

Perspective projection of a prism - method of three vanishing points, method of tipped view. Vertical and oblique picture , elements of interior orientation, projection of a new object. Projective geometry. Cartography - ortografic, stereografic and gnomonic projection. Topografic surfaces (plan section, curves an surfaces, points of intersection with a curve). Surfaces of a constant slope. Countour of a topografic surface. Geodesic curve on this surface.

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. Perspective affinity, collineation. Curve affine to a circle. Basics of coted, Monge projection, orthogonal axonometry, centralprojection. Linear perspective.

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. Reconstruction of a vertical picture, adding a new object to a picture.
2. Triple-neutral point perspective I.
3. Triple-neutral point perspective II.
4. Triple-neutral point perspective III.
5. Projective geometry. Cross ratio, complete tetrahedron, first-order projective and perspective objects, projective planar fields. Image of a circle.
6. General affinity. Cartographic projection.
7. Orthographic projection.
8. Stereographic projection.
9. Gnomonic projection. Topographic surfaces. Profiles.
10. Intersections of a line with a topographic surface, tangent plane to a topographic surface and its section with the ground, curves and surfaces of a constant slope.
11. Constructing a geodetic.

Work placements

Not applicable.

Aims

Since the academic year 2004/2005, this course has no longer been 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
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

RNDr. Hana Kopřivová: Deskriptivní geometrie II. ČVUT Praha 1999

Type of course unit

 

Exercise

26 hod., compulsory

Teacher / Lecturer

RNDr. Květoslava Prudilová