310-2113/01 – Constructive Geometry (KG)

Gurantor departmentDepartment of Mathematics and Descriptive GeometryCredits4
Subject guarantorMgr. Monika Jahodová, Ph.D.Subject version guarantorMgr. Monika Jahodová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BEL10 Mgr. Jana Bělohlávková
JAH0037 Mgr. Monika Jahodová, Ph.D.
VOT0032 Mgr. Václav Votoupal
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

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:

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 Vavříková, E.: Descriptive geometry. Ostrava: VŠB - Technical University of Ostrava, 2005. ISBN 80-248-1006-9. Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry. New Jersey, 1997, ISBN0-02-391341-X Paré, E.G., Loving R.O., Hill I.L., Paré, R.C.: Descriptive Geometry Worksheets with Computer Graphics. New Jersey, 1997, ISBN 0-02-391342-8.

Recommended literature:

https://archive.org/details/technicaldrawin00gies

Way of continuous check of knowledge in the course of semester

Zápočet nutné podmínky: - účast ve cvičení (20 % neúčasti lze omluvit), - získat minimálně 5 bodů za odevzdání písemných domácích prací. Celkem maximálně 20 bodů. Zkouška Kombinovanou zkoušku tvoří praktická část (120 minut, 5 příkladů) a teoretická část (20 minut, teoretické otázky). Praktická část je hodnocena 0 - 60 body, teoretická část 0 - 20 body. Aby student u zkoušky uspěl musí získat v praktické části nejméně 25 bodů a v teoretické části nejméně 5 bodů.

E-learning

http://mdg.vsb.cz/portal/en/index.php

Other requirements

No more requirements are put on the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

The program of lectures ================= 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 ================================================== ====== 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

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30 3
                Praktická část Written test 60  25
                Teoretická část Oral examination 20  5
Mandatory attendence participation: Compulsory attendance on practices, absence max. 20%.

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Conditions for subject completion and attendance at the exercises within ISP: Handing in homework on the due dates.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2024/2025 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2024/2025 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2023/2024 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2022/2023 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2022/2023 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2021/2022 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2021/2022 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2021/2022 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan
2020/2021 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2020/2021 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2341) Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B2341) Engineering P Czech Šumperk 1 Compulsory study plan
2019/2020 (B0713A070002) Energetics and Environments P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A040001) Transport Systems and Equipment P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Ostrava 1 Compulsory study plan
2019/2020 (B0715A270011) Engineering P Czech Šumperk 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - FS - P - cs 2020/2021 Full-time Czech Optional FS - Faculty of Mechanical Engineering stu. block

Assessment of instruction



2022/2023 Summer
2021/2022 Summer
2020/2021 Summer
2019/2020 Summer