The Feuerbach point and the Fuhrmann triangle
type: Item
instance of: scholarly article
zbMATH Open document ID: 1370.51013
author: Nguyen Thanh Dung
publication date: 2016-09-21T00:00:00Z
full work available at URL: FG201636index.html
Mathematics Subject Classification ID: 51M15
Mathematics Subject Classification ID: 51M04
zbMATH DE Number: 6628778
zbMATH Keywords: Feuerbach point
zbMATH Keywords: Fuhrmann triangle
zbMATH Keywords: nine-point circles
MaRDI profile type: Publication
title: The Feuerbach point and the Fuhrmann triangle
published in: Forum Geometricorum
review text: The author proves several results about circles passing through the Feuerbach point of a given triangle as well as their relations to the Fuhrmann triangle. In particular, he shows that the Fuhrmann triangle is perspective with the circumcevian triangle of the incenter, with the perspectrix being the tangent to the nine-point circle at the Feuerbach point.
reviewed by: Antonio M. Oller Marcén
description: scientific article; zbMATH DE number 6628778