Some Special Dual Direction Curves

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.

Anahtar Kelimeler:

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

Some Special Dual Direction Curves

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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