Dergiler / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 3
Some Characterization of Curves of Constant Breadth in En Space
- Sayfa
- 433–444
- DOI
- —
Özet
In this paper, the concepts concerning the space of constant breadth were extended to En-space. An approximate solution of the equation system which belongs to this curve was obtained. Using this solution vectorial expression of the curves of constant breadth was obtained. The relation \int02p\widetilde{f}(s)ds=0 between the curvatures of curves of constant breadth in En was obtained. Key Words and Phrases: Curvature, Constant Breadth, Integral Characterization of Curve
Abstract
In this paper, the concepts concerning the space of constant breadth were extended to En-space. An approximate solution of the equation system which belongs to this curve was obtained. Using this solution vectorial expression of the curves of constant breadth was obtained. The relation \int02p\widetilde{f}(s)ds=0 between the curvatures of curves of constant breadth in En was obtained. Key Words and Phrases: Curvature, Constant Breadth, Integral Characterization of Curve