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Two more triangle centers - MaRDI portal

Two more triangle centers (Q428393)

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scientific article; zbMATH DE number 6048973
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Two more triangle centers
scientific article; zbMATH DE number 6048973

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    Two more triangle centers (English)
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    21 June 2012
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    The authors prove that ``for any acute triangle, there exists a unique point whose perpendiculars to the sides divide the triangle into three quadrilaterals of equal area''. It is defined an another center for acute triangle (the existence and uniqueness is proved). The coincidence of this points with the other usual centers of the triangle is also examined.
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    acute triangle
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    dividing into three quadrilaterals
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    equal area
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    centers
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