Title of article :
Characterization of the Parallel Curve of the Adjoint Curve in E^3
Author/Authors :
keskin, ozgiir ankara university - department of mathematics, Turkey , yiiksel, nural erciyes university - department of mathematics, Turkey , karacan, murat kemal usak university - department of mathematics, Turkey , ikiz, hasibe erciyes university - department of mathematics, Turkey
Abstract :
In this paper, we obtain some characterizations of parallel curves of adjoint curves. In three-dimensional Euclidean space, the relationship between ft adjoint of a curve and Y parallel of ft curve are examined. Then, arc-length on Y curve is calculated. Curvature of parallel curve and curvature of the adjoint curve are calculated. Additionally, some results and theorems are presented with special cases. Moreover, a and Y curves Involute-Evolute, Bertrand and Mannheim curve pair situations are examined.
Keywords :
Adjoint curves , Bertrand curve pairs , Involute , Evolute curve pairs , Mannheim curve pairs , Parallel curves
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
