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$$
\frac{AF}{FB}\times\frac{BD}{DC}\times\frac{CE}{EA}=1
$$

A = (2, -2)
B = (8.4, -1.96)
C = (4.92, 2.4)
f = Segment(C, A)
g = Segment(A, B)
h = Segment(B, C)
D = Point(h)
i = Segment(A, D)
E = Point(f)
j = Segment(B, E)
O = Intersect(i, j)
k = Ray(C, O)
F = Intersect(g, k)
l = Segment(C, F)