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Journals / International Journal of Pure and Applied Sciences / 2026 / Volume: 12 Issue: 1

Multiplicative homothetic motion defined by a planar curve

Hasan Es(GAZİ ÜNİVERSİTESİ, GAZİ EĞİTİM FAKÜLTESİ)0000-0002-7732-8173
Mehmet Çitil(Kahramanmaras Sütcü Imam University, Faculty of Science)0000-0003-3899-3434
Pages
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Publication Date
2026-06-22
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AI Summary & Key Takeaways

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

In addition, it is proven that the centers of acceleration are independent of the motion parameter in the special case where the translation vector of the motion is proportional to the planar curve.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, multiplicative homothetic motion is defined in the two-dimensional multiplicative homothetic Euclidean space E_*^2 through the components of a curve.
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Key Findings & Data:It is shown that at each time t, this motion has a (q−1)th-order center of acceleration.
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Conclusion & Impact:In addition, it is proven that the centers of acceleration are independent of the motion parameter in the special case where the translation vector of the motion is proportional to the planar curve.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Pole points · Multiplicative speeds · multiplicative homothetic motion

Abstract

In this study, multiplicative homothetic motion is defined in the two-dimensional multiplicative homothetic Euclidean space E_*^2 through the components of a curve. It is shown that at each time t, this motion has a (q−1)th-order center of acceleration. In addition, it is proven that the centers of acceleration are independent of the motion parameter in the special case where the translation vector of the motion is proportional to the planar curve.

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Cite This Article

Es, H., Çitil, M. (2026). Multiplicative homothetic motion defined by a planar curve. International Journal of Pure and Applied Sciences, Volume: 12 Issue: 1. https://doi.org/10.29132/ijpas.1902675

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