M2730 Projective geometry

Faculty of Science
Spring 2006
Extent and Intensity
2/2. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Bohumil Šmarda, CSc. (lecturer)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Bohumil Šmarda, CSc.
Timetable
Tue 13:00–14:50 N41
  • Timetable of Seminar Groups:
M2730/01: Thu 8:00–9:50 U1, B. Šmarda
Prerequisites
Secondary school geometry.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Projective geometry of conics.
Syllabus
  • Cross ratio; Pappus'theorem; complete quadrangle and quadrilateral. Projectivity. Involution. Projective properties of conis sections. Pascal's and Brianchon's theorems. Polar system of conics. Pencil and range of conics. Constructions of conics; centre, diameter, asymptotes, axes and foci. Ellipse, parabola, hyperbola. Projective collineation between conic and circle.
Literature
  • Havlíček K.,Úvod do projektivní geometrie kuželoseček,SNTL Praha 1956
Assessment methods (in Czech)
Výuka: přednáška. Zkouška: písemná (důraz kladen na samostatné zvládnutí technik projektivní geometrie kuželoseček) a ústní.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2007, Spring 2008, Spring 2009.
  • Enrolment Statistics (Spring 2006, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2006/M2730