Authors
Citation
Hsm. Coxeter, SOME APPLICATIONS OF TRILINEAR COORDINATES, Linear algebra and its applications, 228, 1995, pp. 375-388
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
00243795
Volume
228
Year of publication
1995
Pages
375 - 388
Database
ISI
SICI code
0024-3795(1995)228:<375:SAOTC>2.0.ZU;2-G
Abstract
In terms of a triangle ABC in the complex Euclidean plane, a formula i
s found for the coordinates of the unique pair of isogonal conjugate p
oints on a given line. When the given line is at infinity, the two con
jugate points are seen to be Poncelet's ''circular'' points, with the
surprisingly simple coordinates (e(+/-Bi), e-/+(Ai), -1).