MA2RC_KOGE Constructive Geometry

Faculty of Education
Spring 2006
Extent and Intensity
0/0/16. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Marta Francová, CSc. (lecturer)
Guaranteed by
RNDr. Růžena Blažková, CSc.
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
Methods of descriptive geometry, fundamental positional and metric problems. Axial affinity and collineation. Solution of exercises -Apollonius' and related problems.
Syllabus
  • Introductoin to the methods of descriptive geometry. Properties of parallel and central projections. Afinne mapping. Afinne mapping of a circle on an ellipse. Orthogonal projection on two orthogonal planes; image of linear elements, position and metric problems.Image of circles and solid bodies. Intersections of solid bodies a planes. Skew projection: image of points, lines and planes, incidence problems, solid and their cuts by planes.Apollonius' and related problems: classification and solutions, application of inversion.
Literature
  • ŘÍHA, Ota. Konstrukční geometrie I (Descriptive Geometry). První (dotisk 2002). Brno: Masarykova univerzita, 1999, 84 pp. ISBN 80-210-2104-7. info
  • ŘÍHA, Otta. Konstrukční geometrie II (Descriptive geometry). 2nd ed. Brno: Masarykova univerzita, 2009, 139 pp. ISBN 978-80-210-4803-4. info
  • PIJÁK, Vladimír. Konštrukčná geometria : pre matematicko-fyzikálne a pedagogické fakulty (pre učiteľstvo všeobecnovzdelávacích predmetov v kombinácii s matematikou). 1. vyd. Bratislava: Slovenské pedagogické nakladateľstvo, 1985, 301 s. info
  • VYŠÍN, Jan. Geometrie pre pedagogické fakulty. Vyd. 2. Bratislava: Slovenské pedagogické nakladatel'stvo, 1970, 360 s. info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: in blocks.
The course is also listed under the following terms Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2020, Spring 2021, Spring 2022, Spring 2023.
  • Enrolment Statistics (Spring 2006, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2006/MA2RC_KOGE