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\input{preamble-standalone.ltx}
\begin{document}

% Ex. No. 58 (Section 11.1.10 : \tkzcname{tkzDefPointWith}  \tkzname{linear} )

\begin{tikzpicture}[scale=1.2]
   \tkzDefPoint(1,3){A}   \tkzDefPoint(4,2){B}
   \tkzDefPointWith[linear,K=0.5](A,B)
   \tkzGetPoint{C}
   \tkzDrawPoints[color=red](A,B,C)
   \tkzDrawSegment(A,B)
   \tkzLabelPoints[above right=3pt](A,B,C)
\end{tikzpicture}

\end{document}