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

A = (-0.86, -1.64)
B = (2.76, -1.66)
C = (1.1, 1.86)
t1, c, a, b = Polygon(A, B, C)
f = Segment(C, A)
g = Segment(A, B)
h = Segment(B, C)
i = Ray(A, B)
E = Point(f)
D = Point(h)
j = Ray(E, D)
F = Intersect(i, j)
A' = (6.72, 1.86)
k = Line(A', i)
F' = Point(k)
d = Circle(A', F')
e = Circle(F', A')
B' = Intersect(e, k, 2)
p = Circle(B', F')
D' = Intersect(p, k, 2)
q = Circle(D', B')
C' = Intersect(q, k, 2)
r = Circle(C', D')
E' = Intersect(r, k, 2)
s = Circle(E', C')
A'' = Intersect(s, k, 2)
l = Segment(A', A'')