Course detail

Selected Chapters from Constructive Geometry

FSI-0KDAcad. year: 2025/2026

The course familiarises students with the fundamentals of three-dimensional descriptive geometry, theory of engineering drawing and graphical method of solving space or solid analytic geometry problems. Presentation of these concepts will enable students
to understand descriptive geometry who will be able to relate it to engineering and technology.

Language of instruction

Czech

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

doc. Ing. Pavel Štarha, Ph.D.

Department

Institute of Mathematics (ÚM)

Entry knowledge

Students are expected to be familiar with the fundamentals of geometry and mathematics
at the secondary school level.

Rules for evaluation and completion of the course

Course-unit credit is conditional on an active attendance at seminars.
If a student does not satisfy the given conditions, the teacher can set an alternative condition.

Aims

The course aims to acquaint the students with the theoretical basics of descriptive geometry.
Students will acquire basic knowledge of three-dimensional descriptive geometry
necessary to solve real life situations in various areas of engineering.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

PARÉ, E. G. Descriptive geometry. 9th ed. Upper Saddle River, NJ: Prentice Hall, 1997. ISBN 978-0023913419. (EN)
URBAN, Alois. Deskriptivní geometrie I. Praha: SNTL, n.p., 1965. (CS)

Recommended reading

BORECKÁ, Květoslava. Konstruktivní geometrie. Vyd. 2. Brno: Akademické nakladatelství CERM, 2006. ISBN 80-214-3229-2. (CS)
PARÉ, E. G. Descriptive geometry. 9th ed. Upper Saddle River, NJ: Prentice Hall, 1997. ISBN 978-0023913419. (EN)
SEICHTER, Ladislav. Konstruktivní geometrie: [Určeno pro posl. fak. stroj. Vys. učení techn. v Brně]. 2. opr. a dopl. vyd. Brno: PC-DIR, 1993. Učební texty vysokých škol. ISBN 80-214-0547-3. (CS)

Classification of course in study plans

  • Programme B-FIN-P Bachelor's 1 year of study, winter semester, elective
  • Programme B-MAI-P Bachelor's 1 year of study, winter semester, elective
  • Programme B-MET-P Bachelor's 1 year of study, winter semester, elective
  • Programme B-PDS-P Bachelor's 1 year of study, winter semester, elective

  • Programme B-ZSI-P Bachelor's

    specialization STI , 1 year of study, winter semester, elective
    specialization MTI , 1 year of study, winter semester, elective
    specialization MTI , 2 year of study, winter semester, elective

  • Programme B-STR-P Bachelor's

    specialization AIŘ , 1 year of study, winter semester, elective
    specialization KSB , 1 year of study, winter semester, elective
    specialization SSZ , 1 year of study, winter semester, elective
    specialization STG , 1 year of study, winter semester, elective

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. Ing. Pavel Štarha, Ph.D.

Syllabus

1. Conic sections - basic construction
2. Conic sections - special construction
3. Kinematics, affinity and collineation
4. Axonomometry - basic and special problems
5. Axonometry - representation of solids and surfaces
6. Axonometry - cross-sections
7. - 8. Axonometry - helixes
9. Axonometry - helical surfaces
10. Monge projection - basic problems
11. Monge projection - solids and their cross-sections
12. Monge projection - sections of surfaces of revolution
13. Solving examples according to students' wishes