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  • 标题:Universal Affine Triangle Geometry and Four-fold Incenter Symmetry
  • 本地全文:下载
  • 作者:Lee, Nguyen ; Wildberger, Norman John
  • 期刊名称:KoG
  • 印刷版ISSN:1331-1611
  • 电子版ISSN:1846-4068
  • 出版年度:2013
  • 卷号:16
  • 期号:16
  • 页码:63-80
  • 出版社:Croatian Society for Geometry and Graphics
  • 摘要:We develop a generalized triangle geometry, using an arbitrary bilinear form in an affine plane over a general field. By introducing standardized coordinates we find canonical forms for some basic centers and lines. Strong concurrencies formed by quadruples of lines from the Incenter hierarchy are investigated, including joins of corresponding Incenters, Gergonne, Nagel, Spieker points, Mittenpunkts and the New points we introduce. The diagrams are taken from relativistic (green) geometry.
  • 关键词:Triangle geometry; affine geometry; Rational trigonometry; bilinear form; incenter hierarchy; Euler line; Gergonne; Nagel; Mittenpunkt; chromogeometry
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