Volume 4, Issue 1-2, January 2015, Page: 6-9
On Involute and Evolute of the Curve and Curve-Surface Pair in Euclidean 3-Space
Filiz Ertem Kaya, Department of Mathematics, Faculty of Science and Arts, Nigde University, Nigde, Turkey
Received: Nov. 8, 2014;       Accepted: Nov. 12, 2014;       Published: Jan. 12, 2015
DOI: 10.11648/j.pamj.s.2015040102.12      View  3701      Downloads  242
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. doi: 10.11648/j.pamj.s.2015040102.12
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