Please use this identifier to cite or link to this item:
http://hdl.handle.net/10662/12922
| Title: | Conics in normed planes |
| Authors: | Horváth, Ákos G. Martini, Horst |
| Keywords: | Birkhoff orthogonality;Conics;Ellipses;Hyperbolas;Minkowski plane;Normed plane;Parábolas;Ortogonalidad de Birkhoff;Cónicas;Elipses;Hipérbolas;Plano de Minkowski;Plano normalizado |
| Issue Date: | 2011 |
| Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
| Abstract: | In a unified way, we study the generalized analogues of conics for normed planes by using the following natural approach: It is well known that there are different metrical definitions of conics in the Euclidean plane. We investigate how these definitions extend to normed planes, and we show that in this more general framework these different definitions yield, in almost all cases, different classes of curves. |
| URI: | http://hdl.handle.net/10662/12922 |
| ISSN: | 0213-8743 |
| Appears in Collections: | Extracta Mathematicae Vol. 26, nº 1 (2011) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2605-5686_26_1_29.pdf | 115,23 kB | Adobe PDF | View/Open |
This item is licensed under a Creative Commons License
