HalloHalloHallo

\begin{pmatrix} x_1' \ x_2' \end{pmatrix} = 
\frac{1}{x_1^2 + x_2^2}
\cdot \begin{pmatrix} x_1 \ x_2 \end{pmatrix} 

\vec{x}

\vec{x}'

P_{1} = (0, 4)
O: (0 | 0)
P = (-3, 1)
Q = (-1, 2)
g = Line(P, Q)
X = Point(g)
A: {{1, -0.5}, {0.5, 1}}
v: (2, 0)
x1: x(X)
x2: y(X)
x1': (1 / (x1^(2) + x2^(2))^(0.5) * x1)
x2': (1 / (x1^(2) + x2^(2))^(0.5) * x2)
X': (x1' | x2')
f = Segment(X, X')
gL: -7
gR: 7
gU: -5
gO: 5
k = Circle(O, 1)