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

\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}

X = (1, 1)
x1: x(X)
x2: y(X)
x1': x1 / (x1^(2) + x2^(2))
x2': x2 / (x1^(2) + x2^(2))
X': (x1' | x2')
f = Segment(X, X')
Text1: "\vec{x} = \begin{pmatrix} " + (LaTeX[x(X)]) + " \\ " + (LaTeX[y(X)]) + " \end{pmatrix}"
Text2: "\vec{x}' = \begin{pmatrix} " + (LaTeX[x(X')]) + "  \\  " + (LaTeX[y(X')]) + " \end{pmatrix}"
k = Circle((0 | 0), 1)