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<p>We consider families of triangles which share the same Brocard angle. Historically, such families first occurred in the context of projections of equilateral triangles. We introduce two new Brocard families. The first one is related to triangles that are inscribed in a&#xa0;certain way in a&#xa0;triangle. The second new Borcard family occurs in a&#xa0;configuration related to Routh’s theorem.</p>

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Brocard families

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月2日

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  • Norbert Hungerbühler,
  • Yun Zhang

摘要

We consider families of triangles which share the same Brocard angle. Historically, such families first occurred in the context of projections of equilateral triangles. We introduce two new Brocard families. The first one is related to triangles that are inscribed in a certain way in a triangle. The second new Borcard family occurs in a configuration related to Routh’s theorem.