Consider the relations $R_{1}$ and $R_{2}$ defined as $aR_{1}b \Leftrightarrow a^{2} + b^{2} = 1$ for all $a,b \in R$ and $(a,b)R_{2}(c,d)$ $\Leftrightarrow a + d = b + c$ for all $(a,b),(c,d) \in N \times N$. Then