MA2BP_PKG Geometry

Faculty of Education
Spring 2013
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. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable
Tue 12:05–14:40 učebna 35
Prerequisites
Good knowledge of school geometry, especially the stereometry.
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 transformations of euclidean spaces, (c) standard stereometric problems and their solutions, (d) basic methods of descriptive geometry.
Syllabus
  • (a) Introduction to Euclidean geometry, Euclidean constructions, circles and cycles, problem of Apollonius and related problems.
  • (b) Isometries, homotheties, parallel and central projections, basic affinities and collineations, circle and sphere inversions.
  • (c) Intersection of line and plane, plane intersections of solid bodies, distances and angles.
  • (d) Free parallel 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
  • ŘÍHA, Ota. Kruhová inverze. 1. vyd. Brno: Masarykova univerzita, 2010, 51 s. ISBN 9788021051492. info
  • ŘÍHA, Ota. Konstrukční geometrie. 1. vyd. Brno: Masarykova univerzita, 1999, 83 s. ISBN 8021021047. info
  • ŘÍHA, Otta. Konstrukční geometrie II (Descriptive geometry). 2nd ed. Brno: Masarykova univerzita, 2009, 139 pp. ISBN 978-80-210-4803-4. info
  • GARDNER, Martin. Matematičeskije čudesa i tajny : matematičeskije fokusy i golovolomki. Translated by V. S. Berman. Moskva: Nauka, 1964, 126 s. info
Teaching methods
Lectures.
Assessment methods
The exam consists of the written and the oral part; for the oral part, at least 50% success in the written part is obligatory.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2010, Spring 2011, Spring 2012, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2019, Spring 2020.
  • Enrolment Statistics (Spring 2013, recent)
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