A new generalization of the Steiner formula and the Holditch theorem (Q284517)
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scientific article; zbMATH DE number 6581609
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new generalization of the Steiner formula and the Holditch theorem |
scientific article; zbMATH DE number 6581609 |
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A new generalization of the Steiner formula and the Holditch theorem (English)
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18 May 2016
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In the present paper, after obtaining the Steiner area formula in the generalized complex plane, the authors determine a new approach for the Holditch theorem giving the relationship between the areas formed by the points in the generalized complex plane (or \(p\)-complex plane). At the end, according to the special values of \( p = -1, 0, 1\), the cases of the Steiner formula and the Holditch theorem are examined.
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generalized complex plane
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Steiner formula
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Holditch theorem
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0.9153375
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0.90366673
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0.9012828
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0.8917407
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0.89094615
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