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\psset{CurveType=polyline,linecolor=red}
\pstGeonode[PosAngle={180,-75,45}](1,4){B}(4,1){A}(5,4){C}
\pstBissectBAC[linecolor=blue]{C}{A}{B}{A'}
\pstOutBissectBAC[linecolor=green, PosAngle=180]
  {C}{A}{B}{A''}