Ellipses surrounding convex bodies
| Autor: | Zamfirescu Tudor |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 30, Iss 2, Pp 273-282 (2022) |
| Druh dokumentu: | article |
| ISSN: | 1844-0835 2022-0030 |
| DOI: | 10.2478/auom-2022-0030 |
| Popis: | If, for a double normal xx* of a convex body K, an ellipse E ∋ x, x* is included in K, we say that E is surrounded by the boundary of K. If, instead, in the plane of E, K is included in the convex hull of E, then we say that E is surrounding K. In this paper we investigate surrounding and surrounded ellipses, particularly circles. We do this for arbitrary convex bodies, for polytopes, for convex bodies of constant width, and for most convex bodies (in the sense of Baire categories). |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|