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\draw[name path=g1,PaleVioletRed1,dashed] (A)--(C);
\draw[name path=g2,PaleVioletRed1,dashed] (A)--(D);
\path [name intersections={of = L1 and g1, by={E}}];
\path [name intersections={of = L1 and g2, by={F}}];
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