1S4 DE SVMMIS SERIER. NVMEROS 



atque cum iam fit per legem priorem : 



y'H — Y^'\'— — / H — - — y* H- etc. 



J — — ^ 



iH — L_j/^4-__i — y^i — i — / + -5 — j/ +etc. 



' l.2.Z^ ' 1.2... .5-' I.Z..,.T' 1.2. ..9^ 



cuius denominator eft — (^>— ^""-^), eiusque diffe- 

 rentiale i^ (.:v_,-:y)_|.i|(^:y + ^-^), quod per -^ 



multiplicatum dat numeratorem zi — ^ (^*' -- ^''•''j 



•4-5(^^-4-^"^) ita vt huius feriei fumma fit 



Cafus hic notari meretur quo/m , haecque feries 

 fummatur : 



A-B4-C-DH-E- etc. =:^.F737-terib-.. 



Si hic pro litteris A, B, C, D etc. ipfae feries 

 affumtae reftituantur , et quatenus fieri poteft , in 

 fummas coUigantur , erit 



\r--\- —-A- ^ ^ ~ etc '—. 



ir •nsih ' ' *7tTt-t.t I s7r'7r-(-i " 1 id w 7r-+- i t-iv. _— ^^ , 



6. Inuenta fumma feriei 

 AA-^-i-Bjtr^-hCa^ + DAr^-j-etc zzl—ixcot.x 

 in qua fimul alteram compledi licet 



Ay - Br + Cy - D/ 4- etc. -l ^I2±i - 1 



tam ope differentiationis quam integrationis inniime- 

 rabiles aliae inde deduci poffunt quarum fumma 



pariter 



