Pythagoras

$\eqalign{ & Gegeven:n\,\,en\,\,n + 2 \cr & \frac{1} {n} + \frac{1} {{n + 2}} = \frac{{2n + 2}} {{n^2 + 2n}} \cr & (2n + 2)^2 + \left( {n^2 + 2n} \right)^2 = \left( {n^2 + 2n + 2} \right)^2 \cr & Voorbeeld: \cr & Neem\,\,\,n = 1 \cr & 1 + \frac{1} {3} = \frac{4} {3} \cr & 4^2 + 3^2 = 5^2 \cr}$