714-0276/06 – Descriptive Geometry (BcDg)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits5
Subject guarantorMgr. Dagmar Dlouhá, Ph.D.Subject version guarantorRNDr. Jiří Poláček, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2012/2013Year of cancellation2019/2020
Intended for the facultiesFASTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
DOL75 Mgr. Jiří Doležal
POL12 RNDr. Jiří Poláček, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Credit and Examination 16+0

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

Individual consultations
Other activities


The basic properties of the projection. Central collineation, perspective affinity. The mapping projection, the Monge’s projection, the orthogonal axonometry. Elementary surfaces and solid. Circular helix and moving trihedral. Surfaces of revolution, quadrics of revolution. The ruled surfaces, the evelopable and especially the skew ruled surfaces. Spiral surfaces.

Compulsory literature:

Vavříková, E.: Descriptive Geometry. VŠB-TU, Ostrava 2005. ISBN 80-248-1006-9. Watts,E.F. - Rule,J.T.: Descriptive Geometry, Prentice Hall Inc., New York 1946. Dostupné na www:

Recommended literature:

Ryan, D. L.: CAD/CAE Descriptive Geometry. CRC Press 1992. Pare, Loving, Hill: Deskriptive geometry, London, 1965.

Way of continuous check of knowledge in the course of semester

programs checking, practical and oral examination. Questions 1. Parallel projection - basic characteristics. 2. Ellipse - definition, the focal properties, trammel construction. 3. Hyperbola - definition, the focal properties. 4. Parabola - definition, the focal properties. 5. Theoretical solutions of roofs - basic notions and constructions. 6. Monge projection - principles and basic notions. 7. Orthogonal axonometry - principles and basic notions. 8. The notch method in orthogonal axonometry. 9. Displaying of circle in Monge projection and axonometry (in a coordinate or parallel plane). 10. Curves - the creation, distribution, movement frame. 11. Helix - the creation, basic concepts, movement frame. 12. Surfaces - the creation, distribution, tangent plane and normal. 13. Surfaces of revolutions - the creation, basic notions, tangent plane. 14. Rotating quadrics - the creation, distribution. 15. Skew hyperboloid of two sheets - the creation, characteristics, application. 16. Ruled surfaces - the creation, distribution, types of straight line on surface. 17. Developable ruled surfaces- distribution, application. 18. Skew ruled surfaces, the creation, characteristics. 19. Hyperbolic paraboloid - the creation, characteristics, applications. 20. Conoids - the creation, examples, applications. 21. Examples of the skew ruled surfaces in the building practices (surface of diagonal pass, surface of Stramberk Tower, Montpellier and Marseille arc). 22. Screw surfaces - the creation, basic notions, distribution. 23. Stair surface, coiled column - the creation, applications.


http://www.studopory.vsb.cz http://mdg.vsb.cz (in Czech language)

Other requirements



Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Parallel projection. Improper objects. Axial affinity in plane. Monge projection: representation of point, line and plane, the basic position problems. Monge projection: the basic metric problems, displaying of circle. Orthogonal axonometry: principles and representation of point, line and plane, the basic position problems. Orthogonal axonometry: object in coordinate or parallel plane, notch method. Curves - the creation, distribution, movement frame. Circular helix. Surfaces: describing, classification, tangent plane and normal. Screw surfaces - ruled, cyclical. Surfaces of revolution. Second degree surfaces of revolution. Ruled surfaces. Developable and skew ruled surfaces. One-sheet hyperboloid of rotation. Hyperbolic paraboloid. Conoids. Other surfaces suitable for civil engineering.

Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2017/2018 (B3607) Civil Engineering K Czech Ostrava 1 Compulsory study plan
2016/2017 (B3607) Civil Engineering K Czech Ostrava 1 Compulsory study plan
2015/2016 (B3607) Civil Engineering K Czech Ostrava 1 Compulsory study plan
2014/2015 (B3607) Civil Engineering K Czech Ostrava 1 Compulsory study plan
2013/2014 (B3607) Civil Engineering K Czech Ostrava 1 Compulsory study plan
2012/2013 (B3607) Civil Engineering K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

2017/2018 Winter
2015/2016 Winter
2013/2014 Winter
2012/2013 Winter