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Journals / Natural and Applied Sciences Journal / 2026 / Cilt: 7 Sayı: 1

Tzitzeica Smarandache Curves in Euclidean 3- Space

Orhan Karacan0000-0003-3915-2004
Bengü Bayram(BALIKESIR UNIVERSITY, FACULTY OF ARTS AND SCIENCES, DEPARTMENT OF MATHEMATICS)0000-0002-1237-5892
Pages
61–77
Publication Date
2024-06-30
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AI Summary & Key Takeaways

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

In addition, the necessary and sufficient conditions for Smarandache curves to be Tzitzeica curves in 3-dimensional Euclidean space are investigated and examples are given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this study is to examine the relations between Tzitzeica curves and Smarandache curves in Euclidean space.
📊
Key Findings & Data:The aim of this study is to examine the relations between Tzitzeica curves and Smarandache curves in Euclidean space.
💡
Conclusion & Impact:In addition, the necessary and sufficient conditions for Smarandache curves to be Tzitzeica curves in 3-dimensional Euclidean space are investigated and examples are given.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Tzitzeica Curves · Smarandache Curves · Planar Tzitzeica Curves

Abstract

The aim of this study is to examine the relations between Tzitzeica curves and Smarandache curves in Euclidean space. In addition, the necessary and sufficient conditions for Smarandache curves to be Tzitzeica curves in 3-dimensional Euclidean space are investigated and examples are given.

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Cite This Article

Karacan, O., Bayram, B. (2024). Tzitzeica Smarandache Curves in Euclidean 3- Space. Natural and Applied Sciences Journal, Cilt: 7 Sayı: 1, 61–77. https://doi.org/10.38061/idunas.1497563

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