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ID 25256
file
creator
subject
triangle center
degree of triangle center
Euler line
Nagel line
Ceva conjugate
isotomic conjugate
NDC
Mathematics
abstract
We introduce a concept “degree of triangle centers", and give a formula expressing the degree of triangle centers on generalized Euler lines. This generalizes the well known 2 : 1 point configuration on the Euler line. We also introduce a natural family of triangle centers based on the Ceva conjugate and the isotomic conjugate. This family contains many famous triangle centers, and we conjecture that the degree of triangle centers in this family always takes the form (-2)k for some k ∈ Z.
journal title
Contributions to Algebra and Geometryrie
volume
Volume 51
issue
Issue 1
start page
63
end page
89
date of issued
2010
publisher
Springer Verlag
issn
0138-4821
2191-0383
ncid
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
rights
© 2010 Heldermann Verlag
This is a post-peer-review, pre-copyedit version of an article published in Beiträge zur Algebra und Geometrie. The final authenticated version is available online at: http://eudml.org/doc/223783
relation url
department
Graduate School of Science