Czech

Not applicable.

Institute of Mathematics and Descriptive Geometry (MAT)

Students should be able to construct conics from the properties of their foci, perspective colineation, perspective affinity. Understand the basics of projections: Monge`s, orthogonal axonometry, central projection and perspective projection. Display the basic geometric bodies in each projection. Construct sections of bodies. Project a building using a perspective projection. Vertical picture, reconstruction of the elements of internal orientation.

Basic knowledge of planar and 3D geometry as taught at secondary schools.

Not applicable.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations - lectures, seminars.

Full-time study programme: Students have to pass two credit tests, submit two drawings and other homework.
Followed by an exam with a pass rate of at least 50%.
Combined study programme: Students will do 5 tests during the semester and send them to the lecturer. Their successful completion is a condition for getting the credit. An exam with a pass rate of at least 50% will follow.

Lectures
1. Extended Euclidean space. Perspective affinity, collineation.
2. Curve affine to a circle. Coted projection.Basic terms.Positional problems.
3. Coted projection. Metrical problems. Projection of a solid.
4. Coted projection. Section of a body.Line and plane of a given slope.
5. Monge`s projection. Basics terms and problems.
6. Monge`s projection. Auxiliary plane. Sphere.
7. Orthogonal axonometry.
8. Central projection. Basic terms and problems.
9. Central projection. Solid - projection. Perspective projection.
10. Perspective projection.
11. Perspective projection.
12. Perspective projection. Basics of photogrammetry. Vertical picture - reconstructing a vertical picture.
13. Reconstructing a vertical picture.

Seminars
1. Focal properties of conics.
2. Perspective collineation, perspective affinity. Constructing an ellipse based on affinity. Trammel construction.
3. Collinear image of a n-gonal and a circle.
4. Coted projection. Basic constructions. Projection of a body.
5. Coted projection. Section of a body by a plane.
6. Monge´s projection. Basic constructions. Projection of a body.
7. Monge´s projection. Sphere. Credit test.
8. Orthogonal axonometry. Metric problems in coordinate planes projection of a solid with the base in the horizontal plane.
9. Central projection. Length. Constructions in a plane, projection of a body.
10. Linear perspective.
11. Linear perspective.
12. Reconstruction of a vertical picture.
13. Credits.

Not applicable.

Know how to construct conics from the properties of their foci. Understand and apply the principles of perspective colineation and perspective affinity. Understand and know the basics of coted and Monge`s projection and orthogonal axonometry, central projection and perspective projection. Display basic geometric bodies in each projection.Construct sections of elementary bodies by a plane in coted and Monge´s projection. Sphere in Monge´s projection. Constructions in a plane in central projection and the projection of a simple body. Project a building using a perspective projection. Understand the geonmetric principles of photogrammetry.

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

Students can register for the optional subject BA91 in the previous semester. The contents of the course is an introduction to the issues of the subject of descriptive geometry.

Not applicable.

BULANTOVÁ,J.,HON,P.,PRUDILOVÁ,K.,PUCHÝŘOVÁ,J.,ROUŠAR,J.,ROUŠAROVÁ,V.,SLABĚŇÁKOVÁ,J.,ŠAFAŘÍK,J.: Deskriptivní geometrie, multimediální CD-ROM. FAST VUT v Brně, 2012. ISBN 978-80-7204-787-1. (CS)

PISKA,R.; MEDEK,V.: Deskriptivní geometrie, II. díl. SNTL Praha, Alfa Bratislava, 1975. (CS)
PISKA,R.; MEDEK,V.: Deskriptivní geometrie, I. díl. SNTL Praha, Alfa Bratislava, 1975. (CS)
Kopřivová,H.: Deskriptivní geometrie I,II. Vydavatelství ČVUT Praha, 1999. (CS)
Černý J., Kočandrlová M.: Konstruktivní geometrie 10 (sbírka příkladů). ČVUT Praha, 2002. (CS)
Černý J., Kočandrlová M.: Konstruktivní geometrie. ČVUT Praha, 2003. (CS)