Document type
Bachelor thesisPublication date
Publication license
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/152697
Sèries circulars i el porisma d'Steiner
Journal Title
Authors
Director/Tutor
Journal ISSN
Volume Title
Related resource
Abstract
[en] In this work, we will study projective geometry mainly in the plane, beginning by giving structure of projective line to a conic so we can work with projectivities on conics. This is useful to prove theorems such as Desargues’ theorem for pencils of conics. We will also be studying metric projective geometry which will allow us to dicuss about circles, orthogonality, angles, etc. in the projective plane. This will be used to on one hand, study classical results such as Euler’s circle and, on the other hand, to prove a more advanced result, Steiner’s porism. To see this theorem, algebraic geometry is generally used but on this project we will study it under the projective geometry framework.
Description
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2019, Director: Juan Carlos Naranjo del Val
Subject (English)
Citation
Collections
Citation
TOMÀS RIPOLLÉS, Tània. Sèries circulars i el porisma d'Steiner. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/152697