Burmester theory in Cayley-Klein planes with affine base (Q1990610)
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scientific article; zbMATH DE number 6965713
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Burmester theory in Cayley-Klein planes with affine base |
scientific article; zbMATH DE number 6965713 |
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Burmester theory in Cayley-Klein planes with affine base (English)
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25 October 2018
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The authors exhibit the instantaneous kinematics of the Euclidean, Galilean and pseudo-Euclidean plane. Their aim is to extend the classical Burmester theory to these planes using a unified approach in terms of `generalised complex numbers' \(a+ib\) with \(a,b\in{\mathbb R}\), \(i^2=-1,0,1\).
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affine Cayley-Klein planes
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Burmester theory
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instantaneous invariants
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0.8565761
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0.85584736
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0.8506447
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0.84791815
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0.8465338
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0.8405924
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