In this paper, the involute and evolute of the curve is studied in type of the curve-surface pair at first time. In additional whenβ is considered evolute and involute of the curveα, involute and evolute curve-surface pairs (called as strip) and strip of the curveαis shown as(α,M) are given with depending on the constant angleφthat is between in and in Euclidean 3-Space E^3.
| Published in |
Pure and Applied Mathematics Journal (Volume 4, Issue 1-2)
This article belongs to the Special Issue Applications of Geometry |
| DOI | 10.11648/j.pamj.s.2015040102.12 |
| Page(s) | 6-9 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Curve-Surface Pair,Evolute, Involute.2010 Mathematics Subject Classification. 53A04, 53A05
| [1] | Hacısalihoglu H. H., On The Relations Between The Higher Curvatures Of A Curve and A Strip., Communications de la faculté des Sciences De Universitéd.AnkaraSerie A1, Tome 31, (1982). |
| [2] | Keles, S. Joachimsthal theorems for Manifolds [PHD], Fırat University, Turkey, (1982). |
| [3] | Sabuncuoglu, A. and Hacısalihoglu H. H., Higher Curvatures of a Strip, Communications de la Faculté des Sciences De L.Universitéd.AnkaraSérie A1, Tome 24 , pp: 25-33, (1975). |
| [4] | Sabuncuoglu, A., Differential Geometry, Nobel Publications, pp: 137-144, Ankara, (2004). |
APA Style
Filiz Ertem Kaya. (2015). On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space. Pure and Applied Mathematics Journal, 4(1-2), 6-9. https://doi.org/10.11648/j.pamj.s.2015040102.12
ACS Style
Filiz Ertem Kaya. On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space. Pure Appl. Math. J. 2015, 4(1-2), 6-9. doi: 10.11648/j.pamj.s.2015040102.12
AMA Style
Filiz Ertem Kaya. On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space. Pure Appl Math J. 2015;4(1-2):6-9. doi: 10.11648/j.pamj.s.2015040102.12
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Download@article{10.11648/j.pamj.s.2015040102.12,
author = {Filiz Ertem Kaya},
title = {On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {1-2},
pages = {6-9},
doi = {10.11648/j.pamj.s.2015040102.12},
url = {https://doi.org/10.11648/j.pamj.s.2015040102.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.s.2015040102.12},
abstract = {In this paper, the involute and evolute of the curve is studied in type of the curve-surface pair at first time. In additional whenβ is considered evolute and involute of the curveα, involute and evolute curve-surface pairs (called as strip) and strip of the curveαis shown as(α,M) are given with depending on the constant angleφthat is between in and in Euclidean 3-Space E^3.},
year = {2015}
}
TY - JOUR T1 - On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space AU - Filiz Ertem Kaya Y1 - 2015/01/12 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.s.2015040102.12 DO - 10.11648/j.pamj.s.2015040102.12 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 6 EP - 9 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.s.2015040102.12 AB - In this paper, the involute and evolute of the curve is studied in type of the curve-surface pair at first time. In additional whenβ is considered evolute and involute of the curveα, involute and evolute curve-surface pairs (called as strip) and strip of the curveαis shown as(α,M) are given with depending on the constant angleφthat is between in and in Euclidean 3-Space E^3. VL - 4 IS - 1-2 ER -
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