Triangle centers defined by quadratic polynomials
Mathematical Journal of Okayama University Volume 53
Page 185-216
published_at 2011
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| File | |
| Title ( eng ) |
Triangle centers defined by quadratic polynomials
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| Creator | |
| Source Title |
Mathematical Journal of Okayama University
|
| Volume | 53 |
| Start Page | 185 |
| End Page | 216 |
| 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.
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| Keywords |
triangle center
generalized Euler line
Nagel line
principal line
Ceva conjugate
isotomic conjugate
symmetric polynomial
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| NDC |
Mathematics [ 410 ]
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| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
Department of Mathematics, Faculty of Science, Okayama University
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| Date of Issued | 2011 |
| Publish Type | Author’s Original |
| Access Rights | open access |
| Source Identifier |
[ISSN] 0030-1566
[NCID] AA00723502
[URI] http://www.math.okayama-u.ac.jp/mjou/#
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