| ID | 41406 |
| フルテキストURL | |
| 著者 |
Agaoka, Yoshio
Department of Mathematics, Graduate School of Science, Hiroshima University
|
| 抄録 | 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.
|
| キーワード | triangle center
generalized Euler line
Nagel line
principal line
Ceva conjugate
isotomic conjugate
symmetric polynomial
|
| 発行日 | 2011-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 53巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 185
|
| 終了ページ | 216
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
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| 著作権者 | Editorial Board of Mathematical Journal of Okayama University
|
| 論文のバージョン | publisher
|
| 査読 |
有り
|
| Submission Path | mjou/vol53/iss1/12
|
| JaLCDOI |
