WOVISITIO IN SVMMAM SERIEI &c. i$ 



INQVISITIO 



* IN 



SVMMAM SERIEI r-h.-W-H.V-W-WH-- etfc 



PER. 



Hic. Bernoullium, J. V. D. et Prof. 



Sit fumma quaefita __ s , ponatiir *L\ -f- § -f- ^-f- — -f- 

 etc. erit j— Z,-\~ls, fiue §.f_z_2 Yel ^ — ±2. Sed 

 2 eft zziquadrato feriei }— .§— f— f — ^ f-f-etc, demta dii- 

 pla lumma rec"tangulorum fingulorum binorum terminorum 



eiusdem feriei. Ponantur &-— x -j H- ~ -sj- ,;_-4- * -f- etc. 



^ I-S ' 3-7 ' 5-9 ' 7." ' V " 1.7 ' 3 p ' 5.11"?, I!™ 



etc. tfszr-^H h- 2 — f— ^--f-etc. <?=__— —~ ! — - -u 



__, H ,_ p » 3 .n ' 5, IJ ' 7. IJ ' I- II T j. ,3 I 



etc. et ita porro: ponatur item q~z\— frK— yrf- etc. erit- 

 que 2=r##-f- 2# — 2_>-f- 2<7— 2</-f- 2,? — etc. Eft 

 autem „rr:|x T , ^-ix(i + i), <•—;* x (i-f-|-4-|) ? fc 

 _4-(.-f-H-}-K) * = *_*(*+_-*-*-+-*-+-_),-.<:. O- 

 riuntur enim feries #, _>, c 9 d, e etc. fubtrahendo feriem 

 * -4- 1 -f- 1 -4- i -f-etc. mutilatam 1.2.3.4. etc. primis ter- 

 niinis a fe ipfa integra et diuidendo reliquum refpectiue 

 per 2,4,6,8,10, etc. quibus valoribus fubflitutis in- 

 uenitur 2 ~qq -f-f,- _*(. ■+-{) -f-.*(. +- _-K)-? * 

 (T-f-l-f-l-f-f)-h^(r-f-l-f-^-f-^-f-i) -etc. ~^ 



4-' — ___4_— _ _____ . -_—_-__! __i_ . efc 



1 « 2,1.3, ' 3.1.3.5 +.1.3.5-7 ' 5-1. 3. S 7-9 ' 6.1.3.5.7 9.II ' wt V« 



Summa hiujis feriei (quae vocetur y y ita vt fit 2,-zz.qq 

 ~\-y) expeditius inueftigatur mutando eam in aliam, cu- 

 ius omnes termini fint afrirmatiui, quod fieri poteft con- 

 iungcndo oimidia duorum quorumlibet terminorurn conti- 



C $ guc- 



