Some Special Dual Direction Curves

Year 2018, Volume: 11 Issue: 3, 509 - 517, 30.12.2018

Burak Şahiner

https://doi.org/10.18185/erzifbed.348033

Cited By: 2

Abstract

Bu çalışmada, dual
involüt-evolüt-doğrultu eğrileri, dual Bertrand-doğrultu eğrileri ve dual
Mannheim-doğrultu eğrileri denilen bazı özel bağlantılı eğriler tanımlanmıştır.
Bu bağlantılı dual eğrilerin dual Frenet vektörleri ve dual eğrilikleri
arasında bazı bağıntılar verilmiştir. Ayrıca, dual involüt-evolüt-doğrultu
eğrileri ve dual Mannheim-doğrultu eğrileri kullanarak birim hızlı dual
helislerden birim hızlı dual slant helisler üretmek için kullanışlı yöntemler
sunulmuştur.

Keywords

Bağlantili Eğriler, Doğrultu Eğrileri, Dual Bertrand Eğriler, Dual Helis, Dual Involüt-Evolüt Eğriler, Dual Mannheim Eğriler, Dual Slant Helis

Some Special Dual Direction Curves

Abstract

In this paper, some special
associated dual curves called dual involute-evolute-direction curves, dual
Bertrand-direction curves, and dual Mannheim-direction curves are defined. Some
relations between dual Frenet vectors and dual curvatures of these dual
associated curves are given. Furthermore, useful methods to construct unit
speed dual slant helices from unit speed dual helices by using dual
involute-evolute-direction curves and dual Mannheim-direction curves are
presented.

Keywords

Associated Curves, Direction Curves, Dual Bertrand Curves, Dual Helix, Dual Involute-Evolute Curves, Dual Mannheim Curves, Dual Slant Helix

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