Subjects(version: 916)
Projective Geometry I - NDGE003
Title: Projektivní geometrie I Department of Mathematics Education (32-KDM) Faculty of Mathematics and Physics from 2016 summer 6 summer s.:2/2, C+Ex [HT] unlimited unlimited no cancelled Czech full-time http://fd.cvut.cz/personal/voracova/Projgeom/PG.html
Guarantor: Mgr. Lukáš Krump, Ph.D. Mathematics > Geometry NMUG106 NMUG106 NMUG106
 Annotation - ---CzechEnglish
Last update: T_KDM (22.05.2001)
Construction of projective plane and projective extension of Euclidean plane. Description of conics and construction of conics from given elements.
 Aim of the course - ---CzechEnglish
Last update: T_KDM (19.05.2008)

This course helps to obtain theoretical background for teaching mathematics at high school.

 Literature - ---CzechEnglish
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

Medek: Úvod do projektivnej geometrie. Bratislava, SPN 1975

 Teaching methods - ---CzechEnglish
Last update: T_KDM (20.05.2008)

Lectures and exercises.

 Syllabus - ---CzechEnglish
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.

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