A = (-1.016046252068069, -1.5768370016544573)
B = (6.38, 4.48)
h_1 = Line(A, B)
C = (-3.9810186169076744, 5.464972364839591)
D = (6.92, 1.6)
h_2 = Line(C, D)
E = (-2.9926944952944727, 7.287194964063928)
F = (0.58, -1.36)
t = Line(E, F)
G = Intersect(t, h_1)
H = Intersect(t, h_2)
P = Midpoint(G, H)
c, I, J, K, L = HiperbolaPuntoDosAsintotas(P, h_1, h_2)

Tool: Hiperbola Punto Dos Asintotas (command HiperbolaPuntoDosAsintotas)
Dar un punto y las dos asíntotas
Input: P, h_1, h_2
Output: p, P', P'_1, P_1, P_2

E = Intersect(h_1, h_2)
P' = Mirror(P, E)
b = Line(P, h_2)
c = Line(P', h_1)
d = Line(P, h_1)
e = Line(P', h_2)
F = Intersect(e, d)
G = Midpoint(P', F)
f = Line(P, G)
H = Intersect(b, c)
g = Line(H, G)
h = Line(P', g)
P_1 = Intersect(f, h)
P'_1 = Mirror(P_1, E)
J = Midpoint(G, F)
i = Line(P, J)
j = Line(H, i)
K = Intersect(h_2, j)
k = Line(K, P')
P_2 = Intersect(i, k)
p = Conic(P', P_1, P_2, P, P'_1)