dccurfum , de qu0 adeoqu^ folp deiiiceps dicaiB. In- 

 tQum nunc liqupt , qupd fi fuerit arcus x. omnl 

 quiintitate affignabili mjnor , madp non fijc perfcdc 

 nuVlus , fore fum.mam feriei (B) in paragrapha quia- 

 to expofitae quadranti circuli tiequalem. 



§. 7. Prouti feriem (B) paragraphi quinti de- 

 duximus ex ferie (A) paragraphi quarti, eadem me- 

 thodo nouam deducemus feriem ex inuenta (&). 

 Nempe multipiicetur ipries (B) eiusque -vaJor ad- 

 fcriptus per </:^*,, vt fic habeatur </A;fin.;i:+3yA:fm. sat; 

 +ldxiin,2X-\'^dx{\n,4.x-\- ctc.zzqdx — iXdx - haec 

 nunc pofterior aequatio integretur cum additione 

 conflantis C; fic prodit — cof.A*— jcof 2Ar-T§cof..'5r' 

 — ijcof. 4^-etc. :r^A:-5.v;f+C. Hic rurfus qua«- 

 titas confians ex cafu aliquo peculiarK; qui fua- fe 

 fimplicitate commendet, deducenda eft; fumatur J^w^, 

 et obtinebitur i-rV-f-^-Ji-f etc. =:| ^^ + C; hinc 

 iam innotefcit conlians C per feriem ; (ed detcrmi- 

 nabitur multo breuius , fi fimul in fubfrdium voce- 

 tur alius cafus , quo ponitur x zz z q ; Exinde enim 

 fit I - :J + 5 - T5 + etc. rr qq+C i ftaaque diniflone 

 per 4 oritur nunc i — ts -i- 55 — 1J5 -+- etc. z? * ^ ^ 

 -4- i C; combinando nutem vtramque aequaitione.fl3i 

 ©mqrfflm , communi fcrie expreffam , incidimu§ in 

 fimphciffimaro aequationem Q-{-lqq~lC + -iq^y fiue 

 Q':—'-lqqj Subttituto hoc valore in aequatione ge- 

 neralt , permutatisque fignis , tandem prodit noua 

 Itries 



,(g) Gof: * 4:1 cof 2^+5 cof, 3 ^ + tV con ^x + etc. 



-\qq-qx-)r'^x\ 



fom.XVlI.Nou.Comm. B f 8. 



