The Cevian Simson transformation
type: Item
instance of: scholarly article
zbMATH Open document ID: 1303.51008
author: Bernard Gibert
publication date: 2014-09-05T00:00:00Z
full work available at URL: FG201417index.html
Mathematics Subject Classification ID: 51M04
Mathematics Subject Classification ID: 51M15
zbMATH DE Number: 6340549
zbMATH Keywords: triangle geometry
zbMATH Keywords: cevians
zbMATH Keywords: Simson lines
MaRDI profile type: Publication
title: The Cevian Simson transformation
published in: Forum Geometricorum
review text: A special plane transformation is introduced in the paper under review. For a given point \(M\) in the plane of the triangle \(ABC\) it is determined the point \(P\) such that the cevians passing through \(M\) are parallel to the Simson lines passing through \(P\). The mapping that sends \(M\) onto \(P\) is called the Cevian Simson transformation (CST). The author studies the properties of the CST. He obtains the CST images of remarkable points, lines, quadrics and cubics connected with the triangle \(ABC\).
reviewed by: Georgi Hristov Georgiev
description: scientific article; zbMATH DE number 6340549