310-2113/03 – 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 | English |
| 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
Additional study materials
Way of continuous check of knowledge in the course of semester
Course credit
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To obtain the credit the student has to gain 5 points out of 20 for properly solved homeworks.
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
www.studopory.vsb.cz
Other requirements
There are no more requirements.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
The program of lectures
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1 Introduction to constructive geometry, axial affinity
2 Monge projection – position tasks
3 Monge projection - metric tasks
4 Orthogonal axonometry - basic position tasks
5 Orthogonal projection of the circle (trammel construction, Rytz construction)
6 Views of circle in the projection plane (ax.) and in a general plane (MP)
7 Prism surface, cylindrical surface – cut by a plane
8 Central collineations, pyramid surface – cut by a plane
9 Conical surface, sphere – cut by a plane perpendicular to the projection plane.
10 Intersections of a line and solids
11 Helix, screw surfaces
12 Surfaces of revolution - creation, application
13 Intersections of surfaces of revolution
14 Reserve
Program of exercises and seminars + individual students' work
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1 A focal properties of conic sections - ellipse, hyperbola, parabola
2 Construction of elements of the conics
3 Basic position tasks in Monge projection
4 Basic metric tasks in Monge projection
5 Basic position tasks at orthogonal axonometry
6 Views of circle; constructions of a prism and pyramid out from given elements
7 Construction of a sphere, cylinder and cone from given elements
8 Cuts of a prism, pyramid, and cylinder by a plane
9 Cut of a sphere by a plane, intersection of line and the solid
10 Design and layout of helix
11 Screw ruled surfaces - the classification, tangent plane
12 Surfaces of revolution - the development, construction of the tangent plane
13 Intersections of surfaces of revolution
14 Reserve
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction