Levent Kula, Yusuf Yaylı
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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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), Space (punctuation), Mathematics, Order (exchange), Euclidean geometry, Combinatorics