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A remark to ``Graves triads in the geometry of the triangle'' by A. P. Guinand - MaRDI portal

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A remark to ``Graves triads in the geometry of the triangle'' by A. P. Guinand (Q1122782)

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scientific article; zbMATH DE number 4107564
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English
A remark to ``Graves triads in the geometry of the triangle'' by A. P. Guinand
scientific article; zbMATH DE number 4107564

    Statements

    A remark to ``Graves triads in the geometry of the triangle'' by A. P. Guinand (English)
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    1989
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    In jeder Seite des Dreiecks einer euklidischen Ebene liegen die Berührungspunkte mit dem Umkreis und dem im Inneren der Seite berührenden Ankreis harmonisch zum Schnittpunkt mit einer inneren Winkelsymmetrale und dem Höhenfußpunkt. Je zwei dieser Quadrupel sind perspektiv, wobei die Perspektivitätszentren ein Poldreieck des Inkreises bilden. Vgl. \textit{A. P. Guinand}, J. Geometry 6, 131--142 (1975; Zbl 0296.50008).
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    Euclidean plane
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    triangle
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    incircle
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    polar triangle
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