714-0375 – Constructive Geometry (KG)

Gurantor departmentDepartment of Mathematics and Descriptive Geometry
Subject guarantorMgr. František Červenka
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
714-0375/01 1999/2000 2008/2009 6
714-0375/02 1999/2000 2008/2009 6
714-0375/03 1999/2000 2008/2009 4
714-0375/04 1999/2000 2008/2009 4
714-0375/05 2010/2011 2018/2019 4
714-0375/06 2010/2011 2018/2019 4
714-0375/07 2016/2017 2019/2020 4

Subject aims expressed by acquired skills and competences

• to train development of space abilities • to handle by different types of projection methods, to understand to their principles, to be familiar with their properties, advantages and disadvantages • to acquaint with geometric characteristics of curves and surfaces that are used in technical practice of a given specialization

Teaching methods

Lectures
Individual consultations
Tutorials

Summary

Focus properties of conic sections. The two-plane method. Perspective affinity. Orthogonal axonometry. Orthogonal image of circle. Prismatic surface. Cylindrical surface. Pyramidal surface. Conical surface. Central collineation. Spherical surface. Surfaces of rotation. Quadrics of rotation. One-sheet hyperboloid of rotation. Circular helix. Spiral surfaces.

Compulsory literature:

Černý, J.: Geometry. Vydavatelství ČVUT,Praha 1996,ISBN 80-01-01535-1 Kargerová, M.: Geometry and Computer Graphics. Praha 1998, ISBN 80-01-01816-4

Recommended literature:

1/ Plocková, E. - Řehák, M.: Sbírka řešených příkladů z DG a KG, díl 3. - Mongeovo promítání. Skriptum VŠB - TU, Ostrava 1995. 2/ Stejskalová, J. - Vrbenská, H.: Sbírka řešených příkladů z DG a KG, díl 4. - Axonometrie. Skriptum VŠB - TU, Ostrava 1995. 3/ Urban, A.: Deskriptivní geometrie I, II, Praha, SNTL, 1967. 4/ Doležal, M. - Poláček, J. - Tůma, M.: Sbírka řešených příkladů z DG a KG, díl 5. - Rotační a šroubové plochy. Skriptum VŠB - TU, Ostrava 1995.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.