230-0242/03 – Descriptive Geometry (BcDg)
Gurantor department | Department of Mathematics | Credits | 4 |
Subject guarantor | Mgr. Dagmar Dlouhá, Ph.D. | Subject version guarantor | Mgr. Dagmar Dlouhá, Ph.D. |
Study level | undergraduate or graduate | | |
| | Study language | Czech |
Year of introduction | 2019/2020 | Year of cancellation | |
Intended for the faculties | FAST | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
• foster the development of spatial imagination
• master different types of imaging methods, understand their principles, know their properties, advantages and disadvantages
• become familiar with the geometric properties of curves and surfaces used in technical practice
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
Descriptive geometry is a practical discipline that, with its methods and structure, tries to significantly contribute to the development of spatial imagination, creative abilities and logical thinking. In the first part, he introduces students to all commonly used imaging methods that can be useful for the practice of an architect. The task of the second part is to get acquainted with geometric properties and the use of various curves and surfaces. The selection and scope of the material is focused on technically significant curves and surfaces with regard to their practical application in construction fields. For graphic work, hand drawing is preferred, where students can demonstrate their sense of accuracy, patience, honesty and aesthetic sense.
Compulsory literature:
Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005
http://mdg.vsb.cz/portal/dg/DeskriptivniGeometrie.pdf
Recommended literature:
Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005
http://mdg.vsb.cz/portal/
Way of continuous check of knowledge in the course of semester
Credit
Minimum participation in exercises 80%, submission of voluntary homework, submission of mandatory features, submission of semester work.
The student receives 5 points for submitting correctly executed features. Additional up to 20 points can be earned by completing additional homework. You can receive up to 10 points for submitting a term paper. In total, it is therefore possible to receive a maximum of 35 points from the exercise. Traits and homework will be assigned in class and available in the LMS.
Exam
• Practical part
- 4 drawing tasks (min. 20 b, max. 40 b) and perspective of the semester work (min. 5 b, max. 15 b)
- minimum number of points required for success in the practical part: 25 b, maximum possible number of points from the practical part: 55 b
• The theoretical part
- 2 questions, each from one circle
- minimum number of points required for success in the theoretical part: 5 b, maximum possible number of points from the theoretical part: 10 b
1st round of questions - material covered
2nd round of questions – your chosen topic related to the subject and field of DG
Practical tasks and theoretical questions copy the outline of exercises and lectures.
In total, a maximum of 65 points can be obtained from the exam.
The grade is obtained by summing the points from the credit and the exam and is classified as follows:
Points earned Grade
86 – 100 excellent
66 – 85 very good
51 – 65 good
0 – 50 did not comply
E-learning
Other requirements
The minimum number of points for credit is 5 points.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Program of lectures
1. Parallel projection, coordinate system. Dimensioned projection - display of basic features, slope, intersection of two planes, plane rotation.
2. Monge's projection - representation of basic formations, positional and metric tasks.
3. Right-angled axonometry - display of basic structures, notch method.
4. Oblique projection - display of basic formations, military and cavalry perspective. They do not own formations. Basic concepts of center projection.
5. Linear perspective - basic concepts, bound methods.
6. Curves - general introduction. Circle, ellipse.
7. Other conic sections. Screws.
8. Areas. Surfaces of rotation, quadrics of rotation.
9. Screw surfaces - linear, cyclic.
10. Rectilinear surfaces. Expandable linear surfaces. Collapsed surfaces, collapsed quadrics.
11. Conoids, conoids.
12. Other collapsed surfaces.
13. Reserve
Exercise program
1. Introduction. Means of graphic expression. Standardized font.
2. Theoretical solution of roofs.
3. Geometric lighting. Parallel illumination in Monge projection.
4. Rectangular axonometry, notch method.
5. Central lighting in rectangular axonometry.
6. Oblique projection and lighting.
7. Linear perspective and lighting.
8. Circular arc and helix in different projections.
9. Surfaces of rotation, quadrics of rotation.
10. Screw faces, coiled post and corkscrew face.
11. Rectilinear surfaces, conoids and cylindroids.
12. Other rectilinear surfaces.
13. Reserve, credits.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction