714-0332/02 – Compendium of Constructive Geometry (RzKG)
Gurantor department | Department of Mathematics and Descriptive Geometry | Credits | 1 |
Subject guarantor | Mgr. František Červenka | Subject version guarantor | Mgr. František Červenka |
Study level | undergraduate or graduate | Requirement | Optional |
Year | 2 | Semester | winter |
| | Study language | Czech |
Year of introduction | 2014/2015 | Year of cancellation | 2018/2019 |
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
Individual consultations
Tutorials
Summary
Repetition from the constructive geometry is designed for students who need to explain more closely the subject matter of geometry. The content of the course is identical with the content of the geometry. An accent is given onto solving of the examples that were part of the unsuccessful examination. The course includes: construction of the basic bodies in the Monge’s projection and orthogonal axonometry, their plane sections and point of intersections with line, helix and helical surfaces and rotation surfaces.The course is devoted to students that did not pass the examination from the descriptive geometry. The content of the course is identical with the content of the descriptive geometry. An accent is given onto solving of the examples that were part of the unsuccessful examination. The course includes: construction of the basic bodies in the Monge’s projection and orthogonal axonometry, their plane sections and point of intersections with line, helix and helical surfaces and rotation surfaces.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Předmět je nepovinný, účast je zcela dobrovolná, není ukončen zápočtem ani zkouškou.
E-learning
http://www.studopory.vsb.cz
http://mdg.vsb.cz
Other requirements
Other requirements are not.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1 Monge projection
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
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction