a = 0 (slider from 0 to 4, step 1)
A = (2.48, -9.82)
C = (10.2, -6.2)
p_2 = Line(A, C)
C_{1} = (3.56, -2.56)
p_1 = Line(C_{1}, C)
S = (12.56825054861487, -8.183790560548772)
k = Circle(S, C)
B = Point(p_1)
f, g = AngularBisector(p_1, p_2)
h = OrthogonalLine(C, p_2)
i = OrthogonalLine(C, p_1)
c = Circle(C, Radius[k])
D = Intersect(c, h, 2)
j = Line(D, p_2)
E = Intersect(c, h, 1)
l = Line(E, p_2)
d = Parabola(S, j)
e = Parabola(S, l)
F, S_1 = Intersect(e, f)
H, S_2 = Intersect(e, g)
J, S_3 = Intersect(d, f)
S_4, M = Intersect(d, g)
m = Line(S_1, S)
n = Line(S_2, S)
p = Line(S_3, S)
q = Line(S_4, S)
G = Intersect(k, m, 1)
k_1 = Circle(S_1, G)
I = Intersect(k, n, 1)
k_2 = Circle(S_2, I)
K = Intersect(k, p, 1)
k_3 = Circle(S_3, K)
L = Intersect(k, q, 1)
k_4 = Circle(S_4, L)