Course Details

Descriptive geometry

Academic Year 2024/25

BAA007 course is part of 1 study plan

​ BPC-GK Winter Semester 1st year

Course Guarantor

Mgr. et Mgr. Jan Šafařík, Ph.D.

Institute

Institute of Mathematics and Descriptive Geometry

Language of instruction

Czech

Credits

6 credits

Semester

winter

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/281466

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.