Triangles. III: Complex triangle functions
type: Item
instance of: scholarly article
title: Triangles. III: Complex triangle functions
zbMATH Open document ID: 0868.51018
DOI: 10.1007/BF02215963
author: June A. Lester
published in: Aequationes Mathematicae
publication date: 1997-03-06T00:00:00Z
full work available at URL: https://eudml.org/doc/137675
review text: This is the third in a series of three papers that examine Euclidean geometry via complex cross-ratios. The first two papers [ibid. 52, No. 1-2, 30-54 (1996; Zbl 0860.51009); ibid., No. 3, 215-245 (1996; Zbl 0860.51010)] considered triangle shapes and triangle coordinates. In this paper the author considers the triangle coordinates of the special points of a triangle, and shows that they are functions of its shape. She then shows how these functions can be used to prove theorems about triangles.
reviewed by: E. J. F. Primrose
Mathematics Subject Classification ID: 51M05
Mathematics Subject Classification ID: 51N20
zbMATH DE Number: 988010
zbMATH Keywords: triangle
zbMATH Keywords: complex cross-ratio
describes a project that uses: Geometer's Sketchpad
MaRDI profile type: Publication
cites work: The Conics of Ludwig Kiepert: A Comprehensive Lesson in the Geometry of the Triangle
cites work: Functional equations associated with triangle geometry
cites work: Central Points and Central Lines in the Plane of a Triangle
cites work: Triangles. I: Shapes
cites work: Triangles. II: Complex triangle coordinates
description: scientific article; zbMATH DE number 988010