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$d$

$P_1$

$P_2$

$P_3$

$M_3$

$M_2$

$N_2$

$N_3$

$F_2$

$F_1$

$P_{32}$

$P_{22}$

$P_{31}$

$P_{21}$

a = true
A_1 = (-2.9659740084115542, 8.172859953511596)
B = (-2.8047334919983378, -0.5341279328021008)
d = Line(A_1, B)
P_1 = (0.5544439332770104, 2.7713026536688394)
P_2 = (10.148254659863404, 7.259163693836702)
P_3 = (5.284165748064701, 8.52221440574023)
b = Line(P_1, P_2)
c = Line(P_1, P_3)
M_3 = Intersect(c, d)
M_2 = Intersect(b, d)
C = Midpoint(P_1, P_2)
D = Midpoint(P_3, P_1)
d_1 = Circle(C, P_1)
e = Circle(D, P_3)
f = Polar(M_2, d_1)
g = Polar(M_3, e)
N_2 = Intersect(f, b)
N_3 = Intersect(c, g)
G = Midpoint(N_2, M_2)
H = Midpoint(M_3, N_3)
h = Circle(H, M_3)
k = Circle(G, M_2)
F_2, F_1 = Intersect(h, k)
i = OrthogonalLine(F_1, d)
j = OrthogonalLine(F_2, d)
P_{32} = Mirror(P_3, j)
P_{22} = Mirror(P_2, j)
t = Conic(P_1, P_3, P_{22}, P_2, P_{32})
P_{31} = Mirror(P_3, i)
P_{21} = Mirror(P_2, i)
p = Conic(P_2, P_{21}, P_{31}, P_3, P_1)