mirror

parallel lines and 4 circles

c = Circle((0, 1), (0, 0))
c' = Mirror(c, xAxis)
d = Circle(((2 * sqrt(2)), 0), 2)
d' = Mirror(d, yAxis)
f: y = 2
g: y = -2
P = (1.2027461520971392, 1.6648989801676177)
e = Circle(P, 3)
d'' = Mirror(d', e)
d'_{1} = Mirror(d, e)
c'_{1} = Mirror(c, e)
c'' = Mirror(c', e)
f' = Mirror(f, e)
g' = Mirror(g, e)
a = false
b = false
h = Mirror(Circle[(sqrt(2), -1), sqrt(3)], e)
k = Circle((0, -2), (2 * sqrt(2)))
k' = Mirror(k, e)
B = Intersect(c'_{1}, f', 1)
C = Intersect(d'_{1}, c'_{1}, 1)
A = Intersect(d'_{1}, f', 1)
D = Intersect(d'', c'_{1}, 1)
E = Intersect(c'_{1}, c'', 1)
F = Intersect(d'_{1}, c'', 1)
G = Intersect(d'_{1}, g', 1)
H = Intersect(f', g', 1)
I = Intersect(d'', f', 1)
J = Intersect(d'', c'', 1)
K = Intersect(c'', g', 1)
L = Intersect(d'', g', 1)