MU:MU03250 Projective Geometry I - Course Information
MU03250 Projective Geometry I
Mathematical Institute in OpavaWinter 2017
- Extent and Intensity
- 2/0/0. 4 credit(s). Type of Completion: z (credit).
- Teacher(s)
- RNDr. Vladimír Sedlář, CSc. (lecturer)
- Guaranteed by
- RNDr. Vladimír Sedlář, CSc.
Mathematical Institute in Opava - 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
- Geometry and Global Analysis (programme MU, N1101)
- Mathematical Analysis (programme MU, N1101)
- Course objectives (in Czech)
- Předmět slouží k seznámení se základy projektivní geometrie.
- Syllabus
- 1. Projective plane. Projective extension of the Euclidean plane. Double ratio. Papp theorem. Duality principle.
2. Projectivity of one-parameter figures. Involution.
3. Projective definition of conic section; projective generation of conics. Pascal and Brianchon theorems.
4. Pole and polar, applications to constructions.
5. Pencils and rows of conics.
6. Focus properties of conics.
7. Contructing conics from given elements.
8. Central collineation. Collineation of a circle and a conic.
- 1. Projective plane. Projective extension of the Euclidean plane. Double ratio. Papp theorem. Duality principle.
- Literature
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Enrolment Statistics (Winter 2017, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2017/MU03250