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Locus properties of the Neuberg cubic - MaRDI portal

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Locus properties of the Neuberg cubic (Q1281733)

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scientific article; zbMATH DE number 1268132
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English
Locus properties of the Neuberg cubic
scientific article; zbMATH DE number 1268132

    Statements

    Locus properties of the Neuberg cubic (English)
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    6 March 2000
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    The paper is devoted to the so-called ``Neuberg cubic'' of a triangle \(A,B,C\): This curve contains many interesting points of the triangle: the vertices, the circumcenter, the orthocenter, the incenter, the excenters etc. The author proves a long list of characterisations of the points of this cubic. Some of them use products of powers of points and inversions with respect to special circles.
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    triangle geometry
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    Neuberg cubic
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