Czech

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Institute of Mathematics and Descriptive Geometry (MAT)

Of all faculties

Students should be able to construct conics using their focus properties, perspective colineation and affinity. Understand and get the basics of projection: coted, Monge`s projection, orthogonal axonometry, and linear perspective. They should be able to solve simple 3D problems, display the basic geometric bodies and surfaces in each projection, their section. In a linear perspective, they should be able to draw a building. They construct a helix using specified elements, an orthogonal closed rule right helicoidal surface. They construct a hyperbolic paraboloid, circle and parabolic conoid using specified elements.

Basics of plane and 3D geometry a stereometrie as taught at secondary schools.

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1. Introduction - principles of parallel and central projection. Perspective collineation and affinity-basic properties.
2. System of basic problems, examples. Coted projection. Basic problems.
3. Coted projection. Basic problems.
4. Coted projection. Monge`s projection.
5. Orthogonal axonometry.
6. Orthogonal axonometry.
7. Basic parts of central projection. Linear perspective.
8. Linear perspective.
9. Linear perspective. Topographic surfaces (basic concepts and constructions).
10. Topographic surfaces.
11. Topographic surfaces. Theoretical solution of the roofs.
12. Theoretical solution of the roofs.
13. Questions.

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Students should be able to construct conics using their focus properties, understand the principles of perspective colineation and affinity using such properties in solving problems, understand and get the basics of projection: Monge`s projection, orthogonal axonometry, and linear perspective. They should develop 3D visualization and be able to solve simple 3D problems, display simple geometric bodies and surfaces in each type of projection, their section with a plane and intercestions with a straight line. In a linear perspective, they should be able to draw a building. They should learn the basics of the theory of curves and surfaces, construct a helix using specified elements as well as an orthogonal closed rule right helicoidal surface. They should learn the basics of the theory of warped surfaces, construct a hyperbolic paraboloid, circle and parabolic conoid using specified elements.

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

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