Characterization of the Parallel Curve of the Adjoint Curve in E³.

Autor: Keskin, Özgür, Yüksel, Nural, Karacan, Murat Kemal, Ikiz, Hasibe
Předmět:
Zdroj: General Mathematics Notes; Jul2016, Vol. 35 Issue 1, p9-18, 10p
Abstrakt: In this paper, we obtain some characterizations of parallel curves of adjoint curves. In three-dimensional Euclidean space, the relationship between β ad-joint of α curve and parallel of β curve are examined. Then, arc-length on γ 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, α and γ curves Involute-Evolute, Bertrand and Mannheim curve pair situations are examined. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index