MA2RC_KOGE Constructive Geometry

Faculty of Education
Spring 2014
Extent and Intensity
0/0/16. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Marta Francová, CSc. (lecturer)
Guaranteed by
PhDr. Jiřina Novotná, Ph.D.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
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
Teaching methods
Lectures,individual study, consultation.
Assessment methods
Individual homework, at the examination period written and oral examination.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: in blocks.
The course is also listed under the following terms Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2015, Spring 2016, Spring 2017, Spring 2020, Spring 2021, Spring 2022, Spring 2023.
  • Enrolment Statistics (Spring 2014, recent)
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