Intersections of lines and circles
type: Item
instance of: scholarly article
title: Intersections of lines and circles
zbMATH Open document ID: 1149.51011
author: Peter J. C. Moses
author: Clark Kimberling
published in: Missouri Journal of Mathematical Sciences
publication date: 2008-07-01T00:00:00Z
review text: The authors of the paper under review present a method for determining barycentric coordinates of the point of intersection of a given line and a given circle. They apply their method to several lines (e.g. the Euler line, the circumcenter-incenter line, the Brocard axis) and several circles (e.g. the circumcircle, the incircle, the nine-point circle, the Brocard circle). They also apply the method to the point of intersection of two given lines, harmonic conjugate pairs, and to centers of similitude of pairs of circles.
reviewed by: Mowaffaq Hajja
Mathematics Subject Classification ID: 51N20
Mathematics Subject Classification ID: 51M04
zbMATH DE Number: 5295677
zbMATH Keywords: barycentric coordinates
zbMATH Keywords: Brocard axis
zbMATH Keywords: Brocard circle
zbMATH Keywords: center of similitude
zbMATH Keywords: circumcircle
zbMATH Keywords: harmonic conjugate pairs
zbMATH Keywords: incircle
zbMATH Keywords: nine-point circle
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5295677