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Dergiler / 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
Sayfa
—
Yayın Tarihi
2026-06-22
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri:It is shown that at each time t, this motion has a (q−1)th-order center of acceleration.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (32)

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