\begin{figure}[h]
\centering
\begin{asy}
size (3cm);
pair A, B, C, A1, B1, C1, P;
C=(1,2);
A=(0,0);
B=(3,0);
A1=1/3*B+2/3*C;
B1=2/3*C+1/3*A;
C1=1/2*A+1/2*B;
draw(A--B--B1--cycle);
label("$A$",A,S);
label("$B$",B,S);
label("$C$",C,N);
draw(C--C1);
label("$B'$",B1,NW);
label("$C'$",C1,S);
draw(C--B1,linetype("8 8"));
P=1/4*A+1/4*B+1/2*C;
label("P",P,dir(240));
\end{asy}
\label{fig:cevaFromMenelaus1}
\end{figure}