A new generalization of the Steiner formula and the Holditch theorem. (English) Zbl 1343.53013
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.
Reviewer: Clementina Mladenova (Sofia)
MSC:
| 53A17 | Differential geometric aspects in kinematics |
| 53B50 | Applications of local differential geometry to the sciences |
| 11E88 | Quadratic spaces; Clifford algebras |
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