Triangle

\psset{unit=.45pt}
\begin{pspicture}*(420, 420)
  \psset{linewidth=.4pt}
  % Frame
  \pspolygon(0, 0)(420, 0)(420, 420)(0, 420)
  % Circumscribed circle and inscribed circle
  \pscircle(206, 222){166.18}
  \pscircle(250, 197){75.42}
  % Adjacent circles    
  \pscircle[linestyle=dashed](476, 135){157.68}   
  \pscircle[linestyle=dashed](-32, -22){266.53}   
  \pscircle[linestyle=dashed](132, 579){315.92} 
  % triangle  
  \psset{linewidth=1pt}
  \pspolygon(43, 253)(361, 283)(287, 77)
  % nine-points circle (Feuerbach)
  \pscircle[linestyle=dotted](242, 195){83.09}
\end{pspicture}