A characterization of constant width in Minkowski planes
β Scribed by Gennadiy Averkov; Horst Martini
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 164 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0001-9054
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π SIMILAR VOLUMES
A convex plate D c R 2 of diameter 1 is of constant width 1 if and only if any two perpendicular intersecting chords have total length => 1. . Let D c R", n > 2, be a convex body of diameter 1. We say that D has the property (P) if any n mutually perpendicular chords, having a common point, have to
## Abetract. A MINKOWSKI plane is oonsidered having a parabola as indicatrix curve and taking for ita center the vertex of the parabola causing by this a degeneration of the MINKOWSKI geometry. After a short discussion of the concept of the length and angle, the trigonometrical functions of this g