# Awesome geometry - 10

Geometry Level 5

Consider a circle with center$$A$$.

Consider point $$C$$ outside the circle .

Let Point $$B$$ be on the circle such that $$\overline{CB}$$ is tangent to the circle.

Consider a line passing through Point $$C$$ , which intersects the circle at points $$D, F$$.

Let $$\overline{BE}\perp \overline{CF}$$

If $$\overline{BD}= 12 , \overline{CD}= 18$$,

Find $$\overline{DF} - 2 \times \overline{DE}$$

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