Course detail

Basics of Descriptive Geometry

FAST-BA091Acad. year: 2024/2025

Euclidean constructions in plane, identical and similarity transforms in plane, construction of ellipse by focus properties, basics of solid geometry, basics of parallel and central projection, perspective affinity, perspective collineation, circle in affinity, coted projection, orthogonal axonometry.

Language of instruction

Czech

Number of ECTS credits

1

Mode of study

Not applicable.

Guarantor

RNDr. Květoslava Prudilová

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Entry knowledge

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

Rules for evaluation and completion of the course

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

Aims

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.
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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

RNDr. Květoslava Prudilová

Syllabus

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. Coted projection 4. Coted projection. 5. Coted projection. Projection of circle. 6. Coted projection. Constructional problems. 7. Coted projection. Projection of a solid. 8. Orthogonal axonometry. Basic problems. 9. Orthogonal axonometry. Position problems. 10. Seminar evaluation.