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Some applications of trilinear coordinates - MaRDI portal

Some applications of trilinear coordinates (Q1899420)

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scientific article; zbMATH DE number 803751
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English
Some applications of trilinear coordinates
scientific article; zbMATH DE number 803751

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    Some applications of trilinear coordinates (English)
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    18 July 1996
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    The author gives some interesting applications of trilinear coordinates in a (complex) projective plane. He considers conjugate pairs of points (with respect to a quadrangle) on given lines and conjugate pairs on lines through a given point. In particular in the complex Euclidean plane a formula is given for the coordinates of the unique pair of isogonal conjugate points on a given line. In case the given line is at infinity, the two conjugate points are Poncelet's ``circular'' points.
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    trilinear coordinates
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    projective plane
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    isogonal conjugate points
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