Some applications of trilinear coordinates
type: Item
instance of: scholarly article
title: Some applications of trilinear coordinates
zbMATH Open document ID: 0841.51014
DOI: 10.1016/0024-3795(95)00169-R
author: H. S. M. Coxeter
published in: Linear Algebra and its Applications
publication date: 1996-07-18T00:00:00Z
review text: 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.
reviewed by: Erhard Quaisser
Mathematics Subject Classification ID: 51N15
Mathematics Subject Classification ID: 51M15
zbMATH DE Number: 803751
zbMATH Keywords: trilinear coordinates
zbMATH Keywords: projective plane
zbMATH Keywords: isogonal conjugate points
MaRDI profile type: Publication
Wikidata QID: Q56530395
cites work: Q5836611
cites work: Q5839829
cites work: Q5788706
cites work: Q4294458
cites work: Some cubic curves associated with a triangle
cites work: Q3244760
cites work: Cubic lines relative to a triangle
cites work: Q5841253
cites work: Q3642461
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description: scientific article; zbMATH DE number 803751