Direction Curves of Spherical Indicatrices of A New Framed Curve

Autor:	İlkay GÜVEN, Fatma ÇOLAK
Rok vydání:	2022
Předmět:	Engineering Mühendislik General Engineering Direction curve spherical indicatrix curve alternative frame helix Energy Engineering and Power Technology
Zdroj:	Volume: 15, Issue: 1 325-339 Erzincan University Journal of Science and Technology
ISSN:	2149-4584 1307-9085
DOI:	10.18185/erzifbed.960608
Popis:	In this study, direction curves of spherical indicatrix curves (primarily tangent indicatrix) for a curve in three dimensional Euclidean space were investigated. Mentioned curve was given with a new alternative frame which is {N,C,W} frame. It is a new aspect that researching relations between direction curves and the main curve via that new alternative frame. The harmonic curvatures and geodesic curvatures of spherical image of principal normal indicatrix of direction curves were obtained. The general helix, slant helix and C-slant helix characterizations of direction curves were given. Finally these curves with their figures were exemplified.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::587e679d059e441355480ae3dfc26d98 https://doi.org/10.18185/erzifbed.960608 Zobrazit plný text záznamu