Course: Projective Geometry I

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Course title Projective Geometry I
Course code MU/03250
Organizational form of instruction Lecture
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 4
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
  • SEDLÁŘ Vladimír, RNDr. CSc.
Course content
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.

Learning activities and teaching methods
Recommended literature
  • J. Bureš, J. Burešová. Projektivní geometrie I. Praha.
  • K. Havlíček. Úvod do projektivní geometrie kuželoseček. Praha, 1956.
  • Kadeřábek, Klíma, Kounovský. Desriptivní geometrie L. Praha, 1954.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Geometry and Global Analysis (1) Mathematics courses 1 Winter
Mathematical Institute in Opava Mathematical Analysis (1) Mathematics courses 1 Winter