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