On the theorem of Napoleon and related topics

DOI10.1007/s005910050013zbMath0864.51009OpenAlexW2025124865MaRDI QIDQ1921942

Horst Martini

Publication date: 23 June 1997

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005910050013

zbMATH Keywords

triangleTorricelli pointtheorem of Napoleonhyperbola of L. Kiepert

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04)

Related Items (14)

On the optimality of Napoleon triangles ⋮ Convolution filters for polygons and the Petr-Douglas-Neumann theorem ⋮ A web of confocal parabolas in a grid of hexagons ⋮ The geometric element transformation method for tetrahedral mesh smoothing ⋮ Polygons: Meister was right and Poinsot was wrong but prevailed ⋮ Characteristic parameter sets and limits of circulant Hermitian polygon transformations ⋮ On regular figures in normed planes ⋮ How Bürgi computed the sines of all integer angles simultaneously in 1586 ⋮ Mesh smoothing using the Geometric Element Transformation Method ⋮ On the Napoleon-Torricelli configuration in affine Cayley-Klein planes ⋮ On the cubic of Napoleon ⋮ Napoleon’s quasigroups ⋮ Another generalisation of Napoleon's theorem ⋮ Circle geometry in affine Cayley-Klein planes

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