Characterization of Speherical Helices in Euclidean 3-Space
In this paper, we calculate Frenet frames of the ( ), ( ) and ( ) of the curve α in ℝ which are spherical curves. Also, we give some differential equations which are characterizations for ( ), ( ) and ( ) to be general helix. Morever we give a characterization for ( ) to be a circle.
Gespeichert in:
| Veröffentlicht in: | Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică 2014-06, Vol.22 (2), p.99-108 |
|---|---|
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | In this paper, we calculate Frenet frames of the
(
),
(
) and
(
) of the curve α in ℝ
which are spherical curves. Also, we give some differential equations which are characterizations for (
), (
) and (
) to be general helix. Morever we give a characterization for
(
) to be a circle. |
|---|---|
| ISSN: | 1844-0835 1224-1784 1844-0835 |
| DOI: | 10.2478/auom-2014-0035 |