On converses of Napoleon's theorem and a modified shape function

zbMath1116.51013MaRDI QIDQ860090

Mowaffaq Hajja, Horst Martini, Margarita Spirova

Publication date: 22 January 2007

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/127718

zbMATH Keywords

areaBrocard angleMöbius transformationshape functionNapoleon triangleTorricelli configurationcomplex numberperspectivitysimilar trianglessmoothing iterationantimedial triangleantisimilar trianglecomplementary triangleGaussian planemedial triangleNapoleon configurationoriented areaTorricelli triangle

Mathematics Subject Classification ID

Euclidean analytic geometry (51N20)

Related Items (8)

On the optimality of Napoleon triangles ⋮ Convolution filters for polygons and the Petr-Douglas-Neumann theorem ⋮ The Fermat-Torricelli theorem in convex geometry ⋮ A complete system of the shapes of triangles ⋮ Pompeiu's theorem and the moduli space of triangles ⋮ Limit shape of iterated Kiepert triangles ⋮ On the Napoleon-Torricelli configuration in affine Cayley-Klein planes ⋮ The sequence of generalized median triangles and a new shape function

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