On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space
Pure and Applied Mathematics Journal
Volume 4, Issue 1-2, January 2015, Pages: 6-9
Received: Nov. 8, 2014;
Accepted: Nov. 12, 2014;
Published: Jan. 12, 2015
Views 3415 Downloads 188
Filiz Ertem Kaya, Department of Mathematics, Faculty of Science and Arts, Nigde University, Nigde, Turkey
Follow on us
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.
Curve-Surface Pair,Evolute, Involute.2010 Mathematics Subject Classiﬁcation. 53A04, 53A05
To cite this article
Filiz Ertem Kaya,
On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space, Pure and Applied Mathematics Journal. Special Issue: Applications of Geometry.
Vol. 4, No. 1-2,
2015, pp. 6-9.
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).
Keles, S. Joachimsthal theorems for Manifolds [PHD], Fırat University, Turkey, (1982).
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).
Sabuncuoglu, A., Differential Geometry, Nobel Publications, pp: 137-144, Ankara, (2004).