TY  - JOUR
T1  - Some Applications on Spherical Indicatrices of the Helix Curve
TT  - Helis Eğrisinin Küresel Göstergeleri Üzerine Bazı Uygulamalar
AU  - Gür Mazlum, Sümeyye
AU  - Şenyurt, Süleyman
PY  - 2024
DA  - June
Y2  - 2024
DO  - 10.54370/ordubtd.1438188
JF  - Ordu Üniversitesi Bilim ve Teknoloji Dergisi
JO  - Ordu Üniv. Bil. Tek. Derg.
PB  - Ordu University
WT  - DergiPark
SN  - 2146-6440
SP  - 154
EP  - 175
VL  - 14
IS  - 1
LA  - en
AB  - 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.
KW  - geodesic curvature
KW  - helix curve
KW  - sabban frame
KW  - smarandache curve
N2  - 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.
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UR  - https://doi.org/10.54370/ordubtd.1438188
L1  - https://dergipark.org.tr/en/download/article-file/3733838
ER  -