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+\begin{tikzpicture}[scale=.5]
+ \tkzDefPoint(0,0){O}
+ \tkzDefPoint(3,1){I}
+ \tkzDefPoint(1,4){J}
+ \tkzDefLine[bisector](I,O,J)
+ \tkzGetPoint{i}
+ \tkzDefLine[bisector out](I,O,J)
+ \tkzGetPoint{j}
+ \tkzDrawLines[add = 1 and .5,color=red](O,I O,J)
+ \tkzDrawLines[add = 1 and .5,color=blue](O,i O,j)
+\end{tikzpicture}