Course code MašZ2010

Credit points 2

Descriptive Geometry, Technical Drawing

Total Hours in Course80

Number of hours for laboratory classes32

Independent study hours48

Date of course confirmation19.10.2011

Responsible UnitInstitute of Mechanics

Course developer

author Mehānikas institūts

Olafs Vronskis

Dr. paed.

Course abstract

The aim of this course is to learn general design rules of draughts, methods of projecting, orthographic views of the principal geometrical elements, geometric solids on the standard views and intersections between surfaces, the projection of the topographical surface in the plan view, two - dimensional projecting of principal geometrical elements and the perspective of geometrical elements.

Learning outcomes and their assessment

• Knowledge - understands the projection method, view, and section view building principles. Knows solving methods of metric and positional tasks. Have a good knowledge of design of different geometrical shapes and its flat pattern views. Understands the concept of using auxiliary planes in topographical and central projections. Knows construction of auxiliary views in topographical projections. Understands concept of construction of perspective projections in different architectural projects.
The level of knowledge shall be determined by assessing the theoretical justification of the solution to graphical works.
• Skills – can select the right method for solving metric and positional tasks. In practical tasks can use auxiliary planes in construction of different views. Students can plan fills and cuts of site terrain and construct the borderlines. Student can construct buildings in central projections.
The level of skills shall be determined by assessing the quality of the performance of graphical works.
• Competence – ability to apply professional knowledge of descriptive geometry and drawing skills in practical work and studies.
The level of competence shall be determined by evaluating 2 test works and 2 independent works.

Course Content(Calendar)

1. Introduction. Drawing technique. Engineering lettering. Complex drawing. Projection methods.
2. Orthogonal and axonometric projections of points.
3. Orthographic projections of lines.
4. Orthoggraphic projections of planes. Point and line in the plane.
5. Parallel and perpendicular elements. Metrical constructions.
6. Intersection of basic geometrical elements. Visibility of lines.
7. Auxiliary projections. Drawing transformation techniques - changing projection planes.
8. Test work.
9. Intersection of prism and plane. Determining the true size of the cutting section of a pyramid. Development of a pyramid. Axonometric projections of a pyramid.
10. Intersection of pyramid and plane. Determining the true size of the cutting section of a pyramid. Development of a pyramid. Axonometric projections of a pyramid.
11. Intersection of pair of solids (prism and prism or pyramid and prism). Axonometric projections.
12. Two – dimensional projecting of basic geometrical elements.
13. The land building normalization of the topographical surface.
14. Basics of perspective.
15. Test work.
16. Perspective of building.

Requirements for awarding credit points

Development and theoretical justification of 12 graphical tasks and 2 independently-excutable graphical tasks. Passed 2 tests and exam.

Description of the organization and tasks of students’ independent work

The graphical tasks in the laboratory work must be complete independently, in accordance with the conditions specified in the laboratory work. Theoretical justification of the solution to graphical task takes place after its completion, during laboratory work.
1.independently-excutable graphical work – positional tasks.
2. independently-excutable graphical work – metrical tasks.

Criteria for Evaluating Learning Outcomes

• The level of knowledge shall be determined by:
knowledge of terms, definitons interpretation, knowledge of techniques, comprehension of regularities.
• The level of skills shall be determined by:
graphical basic skills, skill to operate with knowledge, skill to analyze and predict, skill of creative activity.
• The level of competence shall be determined by:
Non-assisted quiz development using only the tools needed to perform graphic work. independently-excutable work has been developed without the assistance of the teaching staff.
The level of knowledge, skills and competence is determined using summative assessment.

Compulsory reading

1. Čukurs J., Aumale M., Nulle I. Tēlotāja ģeometrija. Mācību grāmata. Rīga: Raka, 2004. 233 lpp.

Further reading

1. Čukurs J., Viļumsone I., Nulle I. Inženiergrafika. Mašīnbūves rasēšana. Rīga: Raka, 2007. 256 lpp.
2. Čukurs J., Vronskis O. Tehniskā grafika. Mācību grāmata.- Rīga: RaKa, 2008. 266 lpp.
3. Church Albert E. Elements of descriptive geometry. USA: Kormendi Press, 2008. P.192.
4. Warren Edward S., The elements of descriptive geometry, shadows and perspective. Whitefish, MT: Kessinger Publishing, 2008. P.281.


The study course is included in the compulsory part of the 1st and 2nd level professional higher education study program " Civil Engineering " of the Faculty of Environment and Civil Engineering.