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Keywords = Napoleon–Barlotti theorem

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Article
Generalization of Napoleon–Barlotti Theorem
by Jiří Blažek and Pavel Pech
Geometry 2025, 2(3), 13; https://doi.org/10.3390/geometry2030013 - 19 Aug 2025
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Abstract
The Napoleon–Barlotti theorem belongs to the family of theorems related to the Petr–Douglas–Neumann theorem. The Napoleon–Barlotti theorem states: On the sides of an affine-regular n-gon construct regular n-gons. Then the centers of these regular n-gons form a regular n-gon. [...] Read more.
The Napoleon–Barlotti theorem belongs to the family of theorems related to the Petr–Douglas–Neumann theorem. The Napoleon–Barlotti theorem states: On the sides of an affine-regular n-gon construct regular n-gons. Then the centers of these regular n-gons form a regular n-gon. In the paper we give a generalization of this theorem. Full article
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