$\overline{AB}=2,\overline{BC}=1$
$\overline{AC}=\sqrt5,\overline{CD}=1$
$\overline{AD}=\sqrt5+1$
$\overline{AE}=\overline{AF}=\frac{\sqrt5+1}{2}$

A = (-1.66, -1.44)
P = (-8.8, -3.9)
Q = Point(Ray[P + (0.2, 0), P + (1, 0)])
a = Segment(P, Q)
L_1: y = y(A)
B: A + (2 * a, 0)
L_2: x = x(B)
C: B + (0, a)
c_1 = Circle(C, a)
d = Ray(A, C)
D = Intersect(c_1, d, 2)
E = Midpoint(A, D)
c_2 = Circle(A, E)
F = Intersect(c_2, L_1, 2)