Helis Eğrisinin Küresel Göstergeleri Üzerine Bazı Uygulamalar

Year 2024, , 154 - 175, 30.06.2024

Süleyman Şenyurt Sümeyye Gür Mazlum

https://doi.org/10.54370/ordubtd.1438188

Abstract

Bu çalışmada, helis eğrisinin Frenet vektörlerinin lineer birleşimden elde edilen birim vektörlerin birim küre üzerinde çizdikleri eğrilerin Frenet elemanları hesaplanmıştır. Dahası bu eğrilere ait Sabban çatıları oluşturularak Smarandache eğrileri tanımlanmıştır. Son olarak bu Smarandache eğrilerinin geodezik eğrilikleri hesaplanmıştır.

Keywords

Geodezik eğrilik, helis eğrisi, Sabban çatısı, Smarandache eğrisi

Some Applications on Spherical Indicatrices of the Helix Curve

Abstract

In this study, the Frenet elements of the curves that are drawn on the unit sphere by the unit vectors obtained from linear combinations of Frenet vectors of the helix curve are calculated. Moreover, Sabban frames of these curves are created and Smarandache curves are defined. Finally, the geodesic curvatures of each Smarandache curve are calculated.

Keywords

geodesic curvature, helix curve, sabban frame, smarandache curve

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