Charles Explorer logo
🇬🇧

Projective geometry I

Class at Faculty of Mathematics and Physics |
NMUG106

Syllabus

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.

Annotation

Construction of projective plane and projective extension of Euclidean plane. Description of conics and construction of conics from given elements.