310-2113/03 – 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 languageEnglish
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.
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

Course credit ======================================================== To obtain the credit the student has to gain 5 points out of 20 for properly solved homeworks. Exam ======================================================== 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 ================= 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

Conditions for completion are defined only for particular subject version and form of study

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (B0713A070003) Energetics and Environments P English Ostrava 1 Compulsory study plan
2024/2025 (B0715A270012) Engineering P English Ostrava 1 Compulsory study plan
2023/2024 (B0713A070003) Energetics and Environments P English Ostrava 1 Compulsory study plan
2023/2024 (B0715A270012) Engineering P English Ostrava 1 Compulsory study plan
2022/2023 (B0713A070003) Energetics and Environments P English Ostrava 1 Compulsory study plan
2022/2023 (B0715A270012) Engineering P English Ostrava 1 Compulsory study plan
2021/2022 (B0713A070003) Energetics and Environments P English Ostrava 1 Compulsory study plan
2021/2022 (B0715A270012) Engineering P English Ostrava 1 Compulsory study plan
2020/2021 (B0715A270012) Engineering P English Ostrava 1 Compulsory study plan
2020/2021 (B0713A070003) Energetics and Environments P English Ostrava 1 Compulsory study plan
2019/2020 (B2341) Engineering P English Ostrava 1 Compulsory study plan
2019/2020 (B0715A270012) Engineering P English Ostrava 1 Compulsory study plan
2019/2020 (B0713A070003) Energetics and Environments P English Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
ECTS - MechEng - Bachelor Studies 2020/2021 Full-time English Choice-compulsory 301 - Study and International Office stu. block

Assessment of instruction



2022/2023 Summer