Multiplicative homothetic motion defined by a planar curve

Hasan Es; Mehmet Çitil

doi:10.29132/ijpas.1902675

Multiplicative homothetic motion defined by a planar curve

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.

Keywords

Ethical Statement

There is no ethical issue.

Thanks

We thank everyone who contributed.

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Hasan Es ^*
0000-0002-7732-8173
Türkiye

Mehmet Çitil
0000-0003-3899-3434
Türkiye

Publication Date

June 22, 2026

Submission Date

March 4, 2026

Acceptance Date

May 20, 2026

Published in Issue

Year 2026 Volume: 12 Number: 1

DOI

https://doi.org/10.29132/ijpas.1902675

IZ

https://izlik.org/JA73EU66KC

Cite

RIS / Bibtex

APA

Es, H., & Çitil, M. (2026). Multiplicative homothetic motion defined by a planar curve. International Journal of Pure and Applied Sciences, 12(1), 306-315. https://doi.org/10.29132/ijpas.1902675

AMA

1.Es H, Çitil M. Multiplicative homothetic motion defined by a planar curve. International Journal of Pure and Applied Sciences. 2026;12(1):306-315. doi:10.29132/ijpas.1902675

Chicago

Es, Hasan, and Mehmet Çitil. 2026. “Multiplicative Homothetic Motion Defined by a Planar Curve”. International Journal of Pure and Applied Sciences 12 (1): 306-15. https://doi.org/10.29132/ijpas.1902675.

EndNote

Es H, Çitil M (June 1, 2026) Multiplicative homothetic motion defined by a planar curve. International Journal of Pure and Applied Sciences 12 1 306–315.

IEEE

[1]H. Es and M. Çitil, “Multiplicative homothetic motion defined by a planar curve”, International Journal of Pure and Applied Sciences, vol. 12, no. 1, pp. 306–315, June 2026, doi: 10.29132/ijpas.1902675.

ISNAD

Es, Hasan - Çitil, Mehmet. “Multiplicative Homothetic Motion Defined by a Planar Curve”. International Journal of Pure and Applied Sciences 12/1 (June 1, 2026): 306-315. https://doi.org/10.29132/ijpas.1902675.

JAMA

1.Es H, Çitil M. Multiplicative homothetic motion defined by a planar curve. International Journal of Pure and Applied Sciences. 2026;12:306–315.

MLA

Es, Hasan, and Mehmet Çitil. “Multiplicative Homothetic Motion Defined by a Planar Curve”. International Journal of Pure and Applied Sciences, vol. 12, no. 1, June 2026, pp. 306-15, doi:10.29132/ijpas.1902675.

Vancouver

1.Hasan Es, Mehmet Çitil. Multiplicative homothetic motion defined by a planar curve. International Journal of Pure and Applied Sciences. 2026 Jun. 1;12(1):306-15. doi:10.29132/ijpas.1902675