Introductio in analysin infinitorum

172 DE REALI FUNCTIONUM LIB. I. posito $z^n = \frac{\mathfrak{p}^n}{q^n} \cdot \cos. n\phi$, fit $\mathfrak{P} = P$, &, posito $z^n = \frac{\mathfrak{p}^n}{q^n} \cdot \sin. n\phi$, fit $\mathfrak{P} = \mathfrak{p}$; erit $B = \frac{PN+pN}{N^2+n^2} + \frac{PN-pN}{N^2+n^2} \cdot \frac{\cos. \phi}{\sin. \phi}$ $B = \frac{PN+pN}{N^2+n^2} - \frac{q}{p \sin. \phi}$ Tum vocetur $\frac{P - (B+B\mathfrak{z})Z}{p^2 - 2pqz \cos. \phi + q^2 z^2} = Q$, atque posito $z^n = \frac{\mathfrak{p}^n}{q^n} \cdot \cos. n\phi$, fit $\mathfrak{Q} = Q$, &, posito $z^n = \frac{\mathfrak{p}^n}{q^n} \cdot \sin. n\phi$, fit $\mathfrak{Q} = \mathfrak{q}$; erit $C = \frac{QN+qN [TRUNCATED]