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  • 1 Faculty of Mathematics, University of Technology Chemnitz 09107 Chemnitz, Germany 09107 Chemnitz, Germany
  • 2 Faculty of Mathematics and Informatics, University of Sofia James Bourchier, 1164 Sofia, Bulgaria James Bourchier, 1164 Sofia, Bulgaria
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Summary  

Napoleon's original theorem refers to arbitrary triangles in the Euclidean plane. If equilateral triangles are externally erected on the sides of a given triangle, then their three corresponding circumcenters form an equilateral triangle. We present some analogous theorems and related statements for the isotropic (Galilean) plane.