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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 42 Issue: 1

Characterizations of tzitzeica curves using FLC frame

Süleyman Şenyurt(Department of Mathematics, Faculty of Arts and Science, Ordu University, Ordu, 52200, Türkiye)0000-0003-1097-5541
Kemal Eren(Department of Mathematics, Faculty of Arts and Science, Sakarya University, Sakarya, 54050, Türkiye)0000-0001-5273-7897
Kebire Hilal Ayvacı(Department of Mathematics, Faculty of Arts and Science, Ordu University, Ordu, 52200, Türkiye)0000-0002-5114-5475
Sayfa
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Yayın Tarihi
2024-02-27
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, the condition to be the Tzitzeica curve for each of the spherical indicatrix curves defined according to the Flc frame is expressed, separately.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we investigate the condition that a given polynomial curve with respect to the Frenet like curve (Flc) frame is a Tzitzeica curve.
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Temel Bulgular & Veri:We also show that any planar polynomial curve cannot be a Tzitzeica curve.
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Sonuç & Katkı:Finally, the condition to be the Tzitzeica curve for each of the spherical indicatrix curves defined according to the Flc frame is expressed, separately.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Polynomial Curves · Tzitzeica Curve · FLC Frame

Abstract

In this study, we investigate the condition that a given polynomial curve with respect to the Frenet like curve (Flc) frame is a Tzitzeica curve. We also show that any planar polynomial curve cannot be a Tzitzeica curve. Finally, the condition to be the Tzitzeica curve for each of the spherical indicatrix curves defined according to the Flc frame is expressed, separately.

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Bu Makaleye Atıf Yap

Şenyurt, S., Eren, K., Ayvacı, K. H. (2024). Characterizations of tzitzeica curves using FLC frame. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 42 Issue: 1. https://ajindex.com/articles/1344558

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Kaynakça (12)

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