…△There are four circles (i.e., one inscribed circle and three inscribed circles) that touch the three sides of ABC or their extensions, and the nine-point circle touches each of these circles (Feuerbach's theorem). The nine-point circle is also called the Euler circle or Feuerbach circle after the researcher who named it (Figure). [Minoru Nakaoka]… *Some of the terminology explanations that mention "Euler circles" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…△ABCの3辺,またはそれらの延長に接する円は四つ(すなわち一つの内接円と三つの傍接円)あるが,九点円はこれらの円のおのおのに接する(フォイエルバハの定理)。九点円はその研究者にちなんでオイラー円,またはフォイエルバハ円とも呼ばれる(図)。【中岡 稔】。… ※「オイラー円」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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