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ID 28400
file
creator
subject
triangle center
generalized Euler line
Nagel line
principal line
Ceva conjugate
isotomic conjugate
symmetric polynomial
NDC
Mathematics
abstract
We consider a family of triangle centers whose barycentric coordinates are given by quadratic polynomials, and determine the lines that contain an infinete number of such triangle centers. We show that for a given quadratic triangle center, there exist in general four principal lines through this center. These four principal lines possess an intimate connection with the Nagel line.
journal title
Mathematical Journal of Okayama University
volume
Volume 53
start page
185
end page
216
date of issued
2011
publisher
Department of Mathematics, Faculty of Science, Okayama University
issn
0030-1566
ncid
language
eng
nii type
Departmental Bulletin Paper
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
relation url
department
Graduate School of Science



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