MA2BP_PKG Geometry

Faculty of Education
Spring 2019
Extent and Intensity
3/0/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Vojtěch Žádník, Ph.D. (lecturer)
Guaranteed by
doc. Mgr. Vojtěch Žádník, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to introduce (a) basic principles and limits of the constructive geometry in euclidean plane, (b) useful geometric mappings, (c) standard stereometric problems and their solutions, (d) basic methods of descriptive geometry.
Syllabus
  • Introduction to Euclidean geometry, Euclidean constructions, circles and cycles, problem of Apollonius and related problems.
  • Isometries, homotheties, parallel and central projections, basic affinities and collineations, circle and sphere inversions.
  • Intersection of line and plane, plane intersections of solid bodies, distances and angles.
  • Free projection, Monge orthogonal projection, axonometric projection, perspective.
Literature
  • EUKLEIDÉS. Základy. Edited by Petr Vopěnka, Translated by František Servít. 1. vyd. Plzeň: Západočeská univerzita v Plzni, 2011, 152 s. ISBN 9788026100232. info
  • KUŘINA, František. Deset geometrických transformací. 1. vyd. Praha: Prometheus, 2002, 282 s., [8. ISBN 80-7196-231-7. info
  • ARTMANN, Benno. Euclid - the creation of mathematics. Berlin: Springer, 1999, xvi, 341. ISBN 0387984232. info
  • ŘÍHA, Ota. Konstrukční geometrie. 1. vyd. Brno: Masarykova univerzita, 1999, 83 s. ISBN 8021021047. info
Teaching methods
Lectures.
Assessment methods
The exam consists of the written and the oral part; the requirements of the seminar (MA2BP_CKG) must be fulfilled.
Language of instruction
Czech
Further comments (probably available only in Czech)
Study Materials
Information on completion of the course: Nutnou podmínkou pro konání zkoušky je získání zápočtu z předmětu MA2BP_CGE1
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2020.
  • Enrolment Statistics (Spring 2019, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2019/MA2BP_PKG