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Journals / Türk Doğa ve Fen Dergisi / 2026 / Sayı: 1 Özel Sayı

Curves of Constant Ratio with Quasi frame in E^3

Rabia Kalmuk(KOCAELİ ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ, MATEMATİK (YL) (TEZLİ))0009-0009-0890-792X
Sezgin Büyükkütük(KOCAELİ ÜNİVERSİTESİ)0000-0002-1845-0822
Günay Öztürk(İZMİR DEMOKRASİ ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ, MATEMATİK BÖLÜMÜ, GEOMETRİ ANABİLİM DALI)0000-0002-1608-0354
Pages
103–108
Publication Date
2024-10-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further, we get the conditions for a regular curve to correspond to be a W- curve in E^3.

📌 3 Key Takeaways

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Objective & Hypothesis:In the present study we handle a regular unit speed curve by means of the position vector given by the vectorial equation γ (s)=m0 t(s)+m1 nq (s)+m2 bq (s) where bq (s), nq (s) and t(s) are quasi frame vectors.
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Key Findings & Data:Firstly, we analysis these curves and investigate to being constant ratio curve.
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Conclusion & Impact:Further, we get the conditions for a regular curve to correspond to be a W- curve in E^3.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Constant ratio curve · Position vector · Quasi frame

Abstract

In the present study we handle a regular unit speed curve by means of the position vector given by the vectorial equation γ (s)=m0 t(s)+m1 nq (s)+m2 bq (s) where bq (s), nq (s) and t(s) are quasi frame vectors. Firstly, we analysis these curves and investigate to being constant ratio curve. Then, we give the parameterizations of T-constant and N- constant curve in accordance with quasi frame. Further, we get the conditions for a regular curve to correspond to be a W- curve in E^3.

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Cite This Article

Kalmuk, R., Büyükkütük, S., Öztürk, G. (2024). Curves of Constant Ratio with Quasi frame in E^3. Türk Doğa ve Fen Dergisi, Sayı: 1 Özel Sayı, 103–108. https://doi.org/10.46810/tdfd.1425358

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