7<y DE SERIERFM 



fcd:ores riuit ( m — i ) * ( «— 2 ) — o j cx qiiibus coUigituir 

 terniinus gcncialis : 



j r^ P-f- Q^.v -f- 2 ""R , erit crgo 



>— P-HQ..v~Q_-l-2-^— R , ct 



^>=zP-f- Q..V- i Q4- ^ ""-'■ R ,, 

 qiii fiibfUtuti hauc dabunt aequalitatcm :: 



p_l_Q^-_h4..a^-=R— ,_hP_i_(^v-i-Q^-4-4. 2^-^R , 

 Tnde repcntur (^~ — c : licquc tcrmiuus gcnu;ilis propo-. 

 fitae legi conucniens crit yrz P — tw-H -^K , Nbi pro P 

 et R fiHKflioncs quascunqua parium dimcnlionum iplaruin. 

 r et j afliimi poflunt.. 



Schollon 2\. 



§. 52. Qiioniam igitnr mcthodum vniucr(alcm tni. 

 didimus inuciiicndi terminos gcncrales lerierum , quarum 

 tcrminus quioque pcr praccedcntcs determinatnr , fiquidcm 

 terminorum antcccdcntium niillac pnte(btcs occurnint ; can*- 

 dem hanc mctliodum nccommodcmus ad (crics , qiiarum 

 quiM.]ue tcrminus , non (()lum cx praeccdcntibus , (cd criani 

 ex ipfo uidicc, dctcrmiiiatur ; in quo tcrtium formationis 

 fericnim gcnus condituimus. Qiiod(i \ero tcnninorum 

 praeccdentium qiiadrata , altiorcsuc potcftatch in dctcrmina*- 

 tionem fcqucntis ingrcdiantur , vt fi fuerk j^ —jj -\- ay j 

 tum quidcm aequatio ditfcrcntialis infinita , qua tcrminus 

 gcncralis inucnitur , facilc cxhibctur , quac hoc catu erit ; 



d y d dy d ^ y 



jy -f- aj ^j-^TTdx-y- TTTdT- '^ riTrTTr» -H ctc. 

 fed qnia artificium nondum conftat huiusmodi acquationcs rc- 

 fuincndi , tracftationcm huius gcncris (cricrum iuc pracicrmit- 

 tt!j£ cogimur. 



Problc- 



