One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula (Q451104)
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scientific article; zbMATH DE number 6085134
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula |
scientific article; zbMATH DE number 6085134 |
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One-parameter homothetic motion in the hyperbolic plane and Euler-Savary formula (English)
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21 September 2012
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The notion of one-parameter planar homothetic motion in the hyperbolic plane is defined. Some characteristic properties about the velocity vectors, the acceleration vectors and the pole curves are given. A canonical relative system is introduced. The Euler-Savary formula, which gives the relationship between the curvatures of trajectory curves, is obtained with the help of this relative system.
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kinematics
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homothetic motion
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hyperbolic numbers
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Euler-Savary formula
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