Czech

Not applicable.

Institute of Mathematics and Descriptive Geometry (MAT)

The students should be able to construct ellipse by focus properties, the principles of perspective affinity, perspective collineation. They will get the basics of projection: Monge`s, orthogonal axonometry, basic problems and be able to solve simple 3D problems, display simple geometric solids and surfaces in each type of projection.

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

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.

Successful completion of the tests, attendance is mandatory.

1. Constructions of basic figures in plane (euclidean constructions in plane, identical and similarity transforms). Extended Euclidean space. Construction of ellipse by focus properties.
2. Tangent line to ellipse from a point and parallel to a given direction.
Central and parallel projection. Perspective affinity, perspective collineation, examples.
3. Circle in affinity,Rytz`s construction, trammel construction.
Basic of solid geometry. Simple solids (pyramid, prism, cone, cylinder,sphere). System of basic problems.
4. Monge`s projection. Basic problems.
5. Monge`s projection. Basic problems. Projection of circle.
6. Monge`s projection. Constructional problems.
7. Monge`s projection. Projection of a solid.
8. Orthogonal axonometry. Basic problems. Construction in coordinate planes.
9. Orthogonal axonometry. Position problems.
10. Orthogonal axonometry. Projection of solid.

Not applicable.

Students should be able to construct: Euclidean constructions in plane, identical and similarity transforms in plane, ellipse by focus properties, understand the principles of perspective affinity, perspective collineation, using such properties in solving problems, understand and get the basics of projection: Monge`s, orthogonal axonometry. They should develop 3D visualization and be able to solve simple 3D problems, display simple geometric solids and surfaces in each type of projection.

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

Not applicable.

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. (CS)
Šafářová,H., kolektiv: CD-ROM pro vyrovnávací kurz deskriptivní geometrie BA91. (ke stažení na webové stánce Ústavu matematiky FAST VUT v Brně), 2012. (CS)

Not applicable.

26 hours, optionally

1. Constructions of basic figures in plane (euclidean constructions in plane, identical and similarity transforms). Extended Euclidean space. Construction of ellipse by focus properties.
2. Central and parallel projection. Perspective affinity, perspective collineation, examples.
3. Circle in affinity. Basic of solid geometry. Simple solids (pyramid, prism, cone, cylinder,sphere). System of basic problems.
4. Monge`s projection.
5. Monge`s projection. Projection of circle.
6. Monge`s projection. Constructional problems.
7. Monge`s projection. Projection of a solid.
8. Orthogonal axonometry. Basic problems.
9. Orthogonal axonometry. Position problems.
10. Seminar evaluation.