310-2113/02 – Constructive Geometry (KG)
Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 4 |
Subject guarantor | Mgr. Monika Jahodová, Ph.D. | Subject version guarantor | Mgr. Monika Jahodová, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 1 | Semester | summer |
| | Study language | Czech |
Year of introduction | 2019/2020 | Year of cancellation | |
Intended for the faculties | FS | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
To train development of space abilities
To handle by different types of projection methods, to understand to their principles, to be familiar with their properties, advantages and disadvantages
To acquaint with geometric characteristics of curves and surfaces that are used in technical practice of a given specialization
Teaching methods
Lectures
Individual consultations
Tutorials
Other activities
Summary
Focus properties of conic sections. The two-plane method. Perspective affinity.
Orthogonal axonometry. Orthogonal image of circle. Prismatic surface.
Cylindrical surface. Pyramidal surface. Conical surface. Central collineation.
Spherical surface. Surfaces of rotation. Quadrics of rotation. One-sheet
hyperboloid of rotation. Circular helix. Spiral surfaces.
Compulsory literature:
Recommended literature:
https://archive.org/details/technicaldrawin00gies
Way of continuous check of knowledge in the course of semester
Course credit
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To obtain a credit the student has to submit 3 drawings. Student can get 12 points for attendance of the lectures and another 8 points for properly solved homework. A maximum of 20 points.
Exam
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Written part of an exam is classified by 0 - 60 points. The part is successful if student obtains at least
25 points.
Oral part of the exam is classified by 0 - 20 points. The part is successful if student obtains
at least 5 points.
E-learning
http://www.studopory.vsb.cz (in Czech)
Other requirements
No more requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Programme of lectures
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I Introduction, cusplines, axis affinity, Monge projection
II Right-angle axonometry - basic position problems, right-angle projection of a circle (strip construction, Rytz construction), representation of a circle in Monge projection and in right-angle axonometry, (only circles lying in projection)
III prismatic surface, cylindrical surface
IV Conic surface, spherical surface
V Rotation surfaces
VI Helical surfaces, helical surfaces
Conditions for subject completion
Conditions for completion are defined only for particular subject version and form of study
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction