T = (5.5, -8.32)
B = (20.8, -9.08)
f = Line(T, B)
A = Point(f)
g = OrthogonalLine(T, f)
S_1 = Point(g)
k_1 = Circle(S_1, T)
C = (9.28, -4.5)
a = 0 (slider from 0 to 5, step 1)
D = (8.7, -4.82)
h = OrthogonalLine(A, f)
i = Line(S_1, A)
E = Intersect(k_1, i, 2)
F = Midpoint(E, A)
c = Hyperbola(S_1, A, F)
S_2 = Intersect(c, h, 1)
k_2 = Circle(S_2, A)
d = Circle(F, A)