Some cubic curves associated with a triangle
type: Item
instance of: scholarly article
title: Some cubic curves associated with a triangle
zbMATH Open document ID: 0889.51030
DOI: 10.1007/BF01224039
author: Henry Martyn Cundy
author: Cyril F. Parry
published in: Journal of Geometry
publication date: 1995-08-15T00:00:00Z
review text: A very nice paper in ``old'' geometric style with highly elaborated drawings. It investigates a family of cubic curves through the vertices and other important points of a triangle in the real plane. In particular those which are invariant under the operations of isogonal conjugacy are here analyzed by various methods. Some misprints in \textit{F. Morley} and \textit{F. V. Morley} [``Inversive geometry'', London: Bell (1933; Zbl 0009.02908)] are corrected.
Mathematics Subject Classification ID: 51N10
Mathematics Subject Classification ID: 14H45
Mathematics Subject Classification ID: 51N35
zbMATH DE Number: 785146
zbMATH Keywords: trilinear coordinates
zbMATH Keywords: isogonal conjugates
zbMATH Keywords: auto-isogonal cubics
zbMATH Keywords: cubic curves
zbMATH Keywords: polar conic
zbMATH Keywords: circular cubics
zbMATH Keywords: Euler pencil
zbMATH Keywords: Darboux cubic
zbMATH Keywords: McCay cubic
zbMATH Keywords: Thomson cubic
zbMATH Keywords: Neuberg cubic
zbMATH Keywords: Neuberg group
zbMATH Keywords: Möbius involution
Wikidata QID: Q56387167
reviewed by: Bernd Richter
MaRDI profile type: Publication
cites work: Q4294458
cites work: Mathematics—modern style, by Allen Edwards. Book 4. Pp 241. £1·50. 1973. SBN 0 05 002608 9 (Oliver and Boyd)
cites work: Q4756246
cites work: Q5615202
cites work: Cubic lines relative to a triangle
cites work: Anallagmatic cubics through quadratic involutive transformations. I
cites work: Q5530254
description: scientific article; zbMATH DE number 785146