Course Details
Descriptive geometry
Academic Year 2023/24
BAA007 course is part of 1 study plan
BPC-GK Winter Semester 1st year
Focal properties of conics. Perspective affinity, affine image of a circle, perspective colineation, colinear image of a circle. Coted projection, application on a topographic surface. Projecting on two perpendicular planes. Basics of orthogonal axonometry, central projection. Linear perspective (perspective of an object using relative and free methods). Stereography projection.
Course Guarantor
Institute
Objective
Know how to construct conics from the properties of their foci. Understand and apply the principles of perspective colineation and perspective affinity. Understand the basics of coted projection, Monge`s projection and orthogonal axonometry, central projection and perspective projection. Display basic geometric bodies in each projection. Construct sections of bodies by a plane. Constructions in a plane in central projection and the projection of a simple body. Project a building using a perspective projection. Topographic surfaces. Stereography projection.
Knowledge
Students should be able to construct conics from the properties of their foci, perspective colineation, perspective affinity. Understand the basics of projections: coted projection, Monge`s projection, orthogonal axonometry, central projection and perspective projection. Display the basic geometric bodies in each projection. Construct sections of bodies. Project a building using a perspective projection. Topographic surfaces. Stereography projection.
Syllabus
1. Extended Euclidean space. Perspective affinity, collineation. Curve affine to a circle.
2. Curve in collineation to a circle. Geodetic curve, developable surfaces. Coted projection.
3. Coted projection.
4. Coted projection. Topographic surfaces.
5. Monge`s projection.
6. Monge`s projection. Sphere. Orthogonal axonometry.
7. Orthogonal axonometry.
8. Central projection.
9. Central projection. Linear perspective projection.
10. Linear perspective projection.
11. Reconstruction of the elements of internal orientation.
12. Stereography projection.
13. Stereography projection.
Prerequisites
Language of instruction
Czech
Credits
6 credits
Semester
Forms and criteria of assessment
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
Offered to foreign students
Course on BUT site
Lecture
13 weeks, 3 hours/week, elective
Syllabus
1. Extended Euclidean space. Perspective affinity, collineation. Curve affine to a circle.
2. Curve in collineation to a circle. Geodetic curve, developable surfaces. Coted projection.
3. Coted projection.
4. Coted projection. Topographic surfaces.
5. Monge`s projection.
6. Monge`s projection. Sphere. Orthogonal axonometry.
7. Orthogonal axonometry.
8. Central projection.
9. Central projection. Linear perspective projection.
10. Linear perspective projection.
11. Reconstruction of the elements of internal orientation.
12. Stereography projection.
13. Stereography projection.
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
1. Focal properties of conics.
2. Perspective collineation, perspective affinity. Constructing an ellipse based on affinity.
3. Collinear image of a n-gonal and a circle.
4. Coted projection.
5. Coted projection. Aplications.
6. Monge´s projection.
7. Monge´s projection. Sphere. Test.
8. Orthogonal axonometry.
9. Central projection.
10. Linear perspective.
11. Test. Linear perspective.
12. Linear perspective.
13. Stereography projection. Seminar evaluation.