Introductio in analysin infinitorum

EVOLUTIONE FACTORUM ORTIS. 251 CAP. XV. $\frac{\pi}{2\sqrt{2}} = 1 + \frac{1}{3} - \frac{1}{5} - \frac{1}{7} + \frac{1}{9} + \frac{1}{11} - \frac{1}{13} - \frac{1}{15}$ &c. $= A$, erit $\frac{1}{3}A = \frac{1}{3} + \frac{1}{9} - \frac{1}{15} - \frac{1}{21} + \frac{1}{27} + \frac{1}{33} -$ &c.: subtrahatur $(1 - \frac{1}{3})A = 1 - \frac{1}{5} - \frac{1}{7} + \frac{1}{11} - \frac{1}{13} + \frac{1}{17} + \frac{1}{19} -$ &c. $= B$ $\frac{1}{5}B = \frac{1}{5} - \frac{1}{25} - \frac{1}{35} + \frac{1}{55} - $ &c.:addatur, erit $(1 + \frac{1}{5})B = 1 - \frac{1}{7} [TRUNCATED]