| Autor: |
Azeb Alghanemi, Meraj Ali Khan |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
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| Zdroj: |
Advances in Mathematical Physics, Vol 2023 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1687-9139 |
| DOI: |
10.1155/2023/7565988 |
| Popis: |
The concept of the natural mate and the conjugate curves associated to a smooth curve in Euclidian 3-space were introduced initially by Dashmukh and others. In this paper, we give some extra results that add more properties of the natural mate and the conjugate curves associated with a smooth space curve in E3. The position vectors of the natural mate and the conjugate of a given smooth curve are investigated. Also, using the position vector of the natural mate, the necessary and sufficient condition for a smooth given curve to be a Bertrand curve is introduced. Moreover, a new characterization of a general helix is introduced. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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