MA2BP_PKOG Constructive Geometry

Faculty of Education
Spring 2009
Extent and Intensity
2/0/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Otta Říha, CSc. (lecturer)
Guaranteed by
doc. RNDr. Otta Říha, CSc.
Department of Mathematics – Faculty of Education
Contact Person: doc. RNDr. Otta Říha, CSc.
Timetable
Thu 12:30–14:10 učebna 35
Prerequisites
Have a good knowledge of geometry especially stereometry of a secondary school.
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
At the end of this course, students should be able to: understand and be able to give insight intu the following concepts and problems: Properties of parallel and central projections. Affine mapping. Affine 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. Students should be able to solve problems and exercises for reasons areas.
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.
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
Assessment methods
Required course,lectures to according weekly timetable, at the examination period written and oral examination.
Language of instruction
Czech
Follow-Up Courses
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_CKOG.
The course is taught annually.
The course is also listed under the following terms Spring 2010.
  • Enrolment Statistics (Spring 2009, recent)
  • Permalink: https://is.muni.cz/course/ped/spring2009/MA2BP_PKOG