[tex] \ \textless \ FGC \equiv \ \textless \ AGB ~si ~FC ~||~AB \Rightarrow \Delta CFG \sim \Delta ABG \Rightarrow \frac{GF}{GB}= \frac{CF}{AB}= \frac{1}{2} . \\ \\ \frac{DC}{DF}= 2. \\ \\ \frac{BE}{CE}=1. \\ \\ Observam~ca~ \frac{DC}{DF} \cdot \frac{GF}{GB} \cdot \frac{EB}{EC}=2 \cdot \frac{1}{2} \cdot 1=1 \Rightarrow D,G,E~sunt~coliniare \\ \\ (TEOREMA~RECIPROCA ~A~LUI~MENEALAUS)[/tex]
