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Last update: T_KDM (22.05.2001)
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Last update: T_KDM (19.05.2008)
This course helps to obtain theoretical background for teaching mathematics at high school.
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Last update: T_KDM (16.05.2008)
Havlíček, K.: Úvod do projektivní geometrie kuželoseček. Praha, SNTL 1956
Bureš, J.- Burešová, J.: Projektivní geometrie I. Skripta MFF UK Praha
Kadleček, J.: Sto úloh z projektivní geometrie. Text KDM MFF UK, Praha 1995
Kadeřávek-Klíma-Kounovský: Deskriptivní geometrie I. Praha, od 1926
Kadleček: Základy geometrie. Skripta MFF UK Praha
Medek: Úvod do projektivnej geometrie. Bratislava, SPN 1975
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Last update: T_KDM (20.05.2008)
Lectures and exercises. |
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Last update: T_KDM (28.05.2003)
Projective plane. Projective extension of Euclidean plane. Pappus' theorem. Prionciple of duality. Projectivity between one-dimensional forms. Involution. Projective definition of conic. Pascal's and Brianchon's theorem. Pole and polar line and their use in constructions. Pencil and series of conics. Focal properties of conics. Construction of conics from given elements. Central collineation, image of a circle in central collineation. |