On rectifying slant helices in Euclidean 3-space
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2016
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| _version_ | 1866916693908914176 |
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| author | Altunkaya, Bülent Aksoyak, Ferdağ Kahraman Kula, Levent Aytekin, Cahit |
| author_facet | Altunkaya, Bülent Aksoyak, Ferdağ Kahraman Kula, Levent Aytekin, Cahit |
| contents | In this paper, we study the position vectors of rectifying slant helices in $E^3$. First, we have found the general equations of the curvature and the torsion of rectifying slant helices. After that, we have constructed a second order linear differential equation and by solving the equation, we have obtained a family of rectifying slant helices which lie on cones. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1602_03413 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | On rectifying slant helices in Euclidean 3-space Altunkaya, Bülent Aksoyak, Ferdağ Kahraman Kula, Levent Aytekin, Cahit General Mathematics 53A04 In this paper, we study the position vectors of rectifying slant helices in $E^3$. First, we have found the general equations of the curvature and the torsion of rectifying slant helices. After that, we have constructed a second order linear differential equation and by solving the equation, we have obtained a family of rectifying slant helices which lie on cones. |
| title | On rectifying slant helices in Euclidean 3-space |
| topic | General Mathematics 53A04 |
| url | https://arxiv.org/abs/1602.03413 |