310-2123/01 – Compendium of Constructive Geometry (RzKG)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits1
Subject guarantorMgr. František ČervenkaSubject version guarantorMgr. František Červenka
Study levelundergraduate or graduateRequirementOptional
Year2Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
CER0007 Mgr. František Červenka
VAV14 RNDr. Eva Vavříková, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit 0+2
Combined Credit 0+14

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:

Vavříková, Eva: Descriptive Geometry, VŠB – TUO, Ostrava 2005, ISBN 80-248-1006-9

Recommended literature:

Černý, J.: Geometry. Vydavatelství ČVUT,Praha 1996,ISBN 80-01-01535-1 Kargerová, M.: Geometry and Computer Graphics. Praha 1998, ISBN 80-01-01816-4

Way of continuous check of knowledge in the course of semester

E-learning

http://www.studopory.vsb.cz http://mdg.vsb.cz

Další požadavky na studenta

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

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit Credit  
Mandatory attendence parzicipation: 80 %

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2341) Engineering P Czech Ostrava 2 Optional study plan
2019/2020 (B2341) Engineering (2301R003) Transport Equipment and Technology P Czech Ostrava 2 Optional study plan
2019/2020 (B2341) Engineering K Czech Ostrava 2 Optional study plan
2019/2020 (B2341) Engineering (2301R003) Transport Equipment and Technology K Czech Ostrava 2 Optional study plan
2019/2020 (B0715A270011) Engineering P Czech Ostrava 2 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Ostrava 2 Optional study plan
2019/2020 (B0715A270011) Engineering P Czech Šumperk 2 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Šumperk 2 Optional study plan
2019/2020 (B0715A270011) Engineering K Czech Uherský Brod 2 Optional study plan
2019/2020 (B0713A070002) Energetics and Environments P Czech Ostrava 2 Optional study plan
2019/2020 (B0713A070002) Energetics and Environments K Czech Ostrava 2 Optional study plan

Occurrence in special blocks

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