2005•Mathematical Proceedings of the Royal Irish AcademyRequires access

HOMOTHETIC MOTIONS IN SEMI-EUCLIDEAN SPACE $\mathbb{E}_2^4 $

Levent Kula, Yusuf Yaylı

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Abstract

In this study, a Hamilton motion is defined in four-dimensional Euclidean space $\mathbb{E}_2^4 $, and it is shown that it is a homothetic motion. Furthermore, it is found that the Hamilton motion defined by a regular curve of order r has only one acceleration centre of order (r — 1) at every instant t.

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What this paper is about

In this study, a Hamilton motion is defined in four-dimensional Euclidean space $\mathbb{E}_2^4 $, and it is shown that it is a homothetic motion. Furthermore, it is found that the Hamilton motion defined by a regular curve of order r has only one acceleration centre of order (r — 1) at every instant t.

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Available abstract

In this study, a Hamilton motion is defined in four-dimensional Euclidean space $\mathbb{E}_2^4 $, and it is shown that it is a homothetic motion. Furthermore, it is found that the Hamilton motion defined by a regular curve of order r has only one acceleration centre of order (r — 1) at every instant t.

Key concepts: Homothetic transformation, Euclidean space, Motion (physics), Mathematics, Euclidean geometry, Space (punctuation), Order (exchange), Acceleration

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