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G = (7.62, -0.9)
H = (-1.78, -2.14)
t_1 = Line(G, H)
E = (7.6, 4.3)
F = (4.06, -2.86)
t_2 = Line(E, F)
C = (0.52, 6.1)
D = (8.02, 2.94)
t_3 = Line(C, D)
A = (-3.48, 1.14)
B = (2.04, 6.1)
t_4 = Line(A, B)
I = (-0.26, -2.92)
J = (-3.24, 3.12)
t_5 = Line(I, J)
K = Intersect(t_1, t_5)
N = Intersect(t_3, t_2)
m = Line(N, K)
O = Intersect(t_2, t_1)
L = Intersect(t_5, t_4)
g = Line(L, O)
W_1 = Intersect(g, m)
M = Intersect(t_4, t_3)
p = Line(M, W_1)
P_1 = Intersect(p, t_1)
k = Line(M, O)
W_2 = Intersect(k, m)
n = Line(L, W_2)
P_2 = Intersect(t_2, n)
i = Line(L, N)
W_3 = Intersect(i, k)
l = Line(K, W_3)
P_3 = Intersect(t_3, l)
f = Line(K, M)
W_4 = Intersect(f, i)
j = Line(O, W_4)
P_4 = Intersect(t_4, j)
W_5 = Intersect(g, f)
h = Line(N, W_5)
P_5 = Intersect(t_5, h)
q = Conic(P_4, P_3, P_2, P_1, P_5)
a = false

Tool: Conica Cinco Tangentes (command ConicaCincoTangentes)
Dar las cinco tangentes
Input: t_1, t_2, t_3, t_4, t_5
Output: q, P_1, P_2, P_3, P_4, P_5

K = Intersect(t_1, t_5)
N = Intersect(t_3, t_2)
m = Line(N, K)
O = Intersect(t_2, t_1)
L = Intersect(t_5, t_4)
g = Line(L, O)
W_1 = Intersect(g, m)
M = Intersect(t_4, t_3)
p = Line(M, W_1)
P_1 = Intersect(p, t_1)
k = Line(M, O)
W_2 = Intersect(k, m)
n = Line(L, W_2)
P_2 = Intersect(t_2, n)
i = Line(L, N)
W_3 = Intersect(i, k)
l = Line(K, W_3)
P_3 = Intersect(t_3, l)
f = Line(K, M)
W_4 = Intersect(f, i)
j = Line(O, W_4)
P_4 = Intersect(t_4, j)
W_5 = Intersect(g, f)
h = Line(N, W_5)
P_5 = Intersect(t_5, h)
q = Conic(P_4, P_3, P_2, P_1, P_5)