Introductio in analysin infinitorum

EVOLUTIONE FACTORUM ORTIS. 241 autem hoc modo reliquis numeris omnibus per reliquos nu- CAP. XIV. meros primos divisibilibus, tandem prodibit $A(1+\frac{1}{3^n})(1-\frac{1}{5^n})(1+\frac{1}{7^n})(1+\frac{1}{11^n})(1-\frac{1}{13^n}) \text{&c.} = 1,$ feu $A = \frac{3^n}{3^n+1} \cdot \frac{5^n}{5^n-1} \cdot \frac{7^n}{7^n+1} \cdot \frac{11^n}{11^n+1} \cdot \frac{13^n}{13^n-1} \cdot \frac{17^n}{17^n-1} \cdot \text{&c.},$ ubi in numeratoribus occurrunt Potestates omnium numerorum primorum, quæ in denominatoribus insunt unitate sive auctæ sive minutæ, prout numeri primi fuerint formæ $4m-1$, vel $4m+1$. 285. Posito ergo $n=1$, ob $A=\frac{\pi}{4}$, erit $\frac{\pi}{4} = \frac{3}{4} \cdot \frac{ [TRUNCATED]