Course Details

Constructive Geometry

Academic Year 2025/26

BAA013 course is part of 5 study plans

​ BPA-SI Summer Semester 1st year

​ BPC-SI / VS Summer Semester 1st year

​ BPC-MI Summer Semester 1st year

​ BPC-EVB Summer Semester 1st year

​ BKC-SI Summer Semester 1st year

Course Guarantor

Mgr. Hana Boháčková, Ph.D.

Institute

Institute of Mathematics and Descriptive Geometry

Language of instruction

Czech, English

Credits

5 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

To offer to students of all faculties

Course on BUT site

https://www.vut.cz/en/students/courses/detail/289591

Lecture

13 weeks, 2 hours/week, elective

Syllabus

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

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus

  • 1. Focus properties of conic sections of an ellipse. Construction of an ellipse on the basis of affinity – Rytz´s and trammel construction.
  • 2. Perspective collineation, perspective affinity. Curve affine to the circle.
  • 3. Monge`s projection. Basic problems.
  • 4. Monge`s projection.
  • 5. Monge`s projection. Coted projection.
  • 6. Test. Orthogonal axonometry.
  • 7. Orthogonal axonometry.
  • 8. Linear perspective.
  • 9. Linear perspective.
  • 10. Test. Linear perspective.
  • 11. Topographic surfaces.
  • 12. Topographic surfaces. Theoretical solution of the roofs.
  • 13. Theoretical solution of the roofs. Credits.