gl1: (12 * x^(2)) + ((8 * x) * y) + (6 * y^(2)) = 56
gl2: (2 * x^(2)) + ((8 * x) * y) - (4 * y^(2)) = -24
gl3: (8 * x^(2)) + ((8 * x) * y) + (2 * y^(2)) - (20 * x) = 0
u = Vector((5, 2))
gl2' = Translate(gl2, u)
gl1' = Translate(gl1, u)
gl4: (7 * x^(2)) + (2 * y^(2)) = 28
v11: (-1, 2)
v12: (2, 1)
M: (5, 2)
M'_1 = Translate(M, v12)
w = Vector(M, M'_1)
M'_2 = Translate(M, v11)
v = Vector(M, M'_2)
A1: 2
A2: 1
B1: -1
B2: 2
m1: {{A1, B1}, {A2, B2}}
m2 = Transpose(m1)
O: (0, 0)
c = Circle(O, M)
a: -2 / 5 - (7 * 144 / 5) + 174
M'_3 = Translate(M, v11)
b = Vector(M, M'_3)
M'_4 = Translate(M, v12)
d = Vector(M, M'_4)
B = Point(u)
e = Circle(B, M)
f: cos(26.56°)
w5: sqrt(5)
gl7: 174 - ((168 * x)) / sqrt(5) + (7 * x^(2)) + ((4 * y)) / sqrt(5) + (2 * y^(2)) = 0
g = Vector((12 / w5, -1 / w5))
M': (12 / w5, -1 / w5)
gl7' = Translate(gl7, Vector[(-g)])
α = Angle(M', O, M)
gl6: 69 - ((48 * x)) / sqrt(5) + (2 * x^(2)) - ((6 * y)) / sqrt(5) - (3 * y^(2)) = 0
gl6' = Translate(gl6, Vector[(-g)])
gl8: 12 + (2 * ((-(12 / sqrt(5))) + x)^(2)) - (3 * (1 / sqrt(5) + y)^(2)) = 0
gl9: (2 * x^(2)) - (3 * y^(2)) + 12 = 0
SE_2, SE_4, SE_1, SE_3 = Vertex(gl1')
h = Segment(SE_1, SE_3)
i = Segment(SE_2, SE_4)
SH_2, SH_1 = Vertex(gl2')
j = Line(M, M'_4)
k = Line(SH_1, SH_2)
p = CircleArc(B, M', M)
q: y = (2 / sqrt(6) * x)
r(x) = (-2 / sqrt(6) * x)
gg: (-g)
M'' = Translate(M', gg)
l = Vector(M', M'')
M''_1 = Translate(M', gg)
m = Vector(M', M''_1)
F_2, F_1 = Focus(gl4)
A, C, D, E = Vertex(gl1')
F_4, F_3 = Focus(gl9)
F, G = Vertex(gl2')
gl1'' = Rotate(gl1', (-α), O)
I = (1.99, -6.108)
J = (3.69, -6.108)