| ID | 41406 |
| FullText URL | |
| Author |
Agaoka, Yoshio
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| Abstract | We consider a family of triangle centers whose barycentric coordinates are given by quadratic polynomials, and determine the lines that contain an infinite 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.
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| Keywords | triangle center
generalized Euler line
Nagel line
principal line
Ceva conjugate
isotomic conjugate
symmetric polynomial
|
| Published Date | 2011-01
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| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume53
|
| Issue | issue1
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| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 185
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| End Page | 216
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| ISSN | 0030-1566
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| NCID | AA00723502
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| Content Type |
Journal Article
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| language |
English
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| Copyright Holders | Editorial Board of Mathematical Journal of Okayama University
|
| File Version | publisher
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| Refereed |
True
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| Submission Path | mjou/vol53/iss1/12
|
| JaLCDOI |
