3

4

4

O = (0, 0)
E = (1, 0)
c = Circle(O, E)
q1 = Point(c)
u = Vector(O, q1)
f = OrthogonalLine(O, u)
q2 = Intersect(c, f, 2)
v = Vector(O, q2)
a11: x(q1)
a12: x(q2)
a21: y(q1)
a22: y(q2)
Q: {{a11, a12}, {a21, a22}}
text1 = LaTeX(Q, true, true)
X = (3, 1)
w = Vector(O, X)
x1: x(X)
y1: y(X)
Y: ((a11 * x1) + (a12 * y1), (a21 * x1) + (a22 * y1))
a = Vector(O, Y)
alpha: 2
d = Circle(O, X)
e = Circle(O, E)
g = OrthogonalLine(q1, xAxis)
q3 = Intersect(e, g, 1)
b = Vector(O, q3)
h = OrthogonalLine(O, b)
q4 = Intersect(e, h, 2)
i = Vector(O, q4)
j = Vector(O, q1)
k = Vector(O, q2)
Z: ((a11 * x1) + (a21 * y1), (a12 * x1) + (a22 * y1))
l = Vector(O, Z)
QT: {{a11, a21}, {a12, a22}}
text2 = LaTeX(QT, true, true)
A = (-4.115454545454547, -3.061818181818182)
B = (5.089090909090908, -3.03)