4-8 METH. INTEC. rORM. DIFFEREXT R.mON. 



inuenti ; etfi enim hi valores fiint imn^inarii, tnmcn ordo 

 progrcnionis , quo in formulas ^ ct £^ ingrtdiiintur, t-ici- 

 lius nppirct , fuiiulquc Ipontc imng;nnna iL tollunt. tluiuii 

 adco mctliodi bcncticio omnis formulnc dit]i.Mcnti:ilis rntio- 

 nnlis, vtcunquc fidoribus imnginariis lcucut, intcgrnlc ualc 

 ope logarithmonim ct arcuum circulnrium potcrit cxhi- 

 bcfi. 



§.41. Qiiac hic non mcdiocri Inborc pro faftorc 

 trinominli inucnimus , e.i multo ficilius dirc(flc cx iisquac 

 de fa(floribus fimplicihus attulimus , dcriunri poffunt. Sit 

 enim in fbrmula diffcrcntinli propoiitu 



A -I- B .v -I- C x-h D v' -i- K v* -h ctc. 

 I -i- a.v-H (3.v*-f- yx'-\-ox*-\- e x'-\- ctc- 

 vbi v vti ponimus ia'm pauciorcs habcnt dimcnfioncs in 

 numcratorc quam in dcnominatorc. Sit iuijunm i -\-px 

 -\-^xx fadlor trinonualis, is(]uc rcalii dcnominntoris i~{- 

 a.v-|-(3.v*-hy.v'-|-(J.v*-j-£.v'-l- ctc. cuiu>modi ficlorcs 

 "Vtiquc dantur ; bini cnim fn(ftorcs flmplicc^ in i-\-px 

 --\-qxx contenti liint vcl rcales \cl imngiiwrii , atijuc 

 vtroquc calii corum produ(flirm ci\ rcalc. Sint igitur i 

 -|-rv ct I -T-iV bini fnafircs fuTipliccs fiuc rcnlcb fiuc 

 imaginarii , (]u()rum produ(f^um i\t zz. i-\-px-\-ijxx ki 

 vt fit ;• = tfJxt^ ct s - tz^^ltiiJL^ . ct (|uacrautur 

 intcgrnlis pnrtcs , qunc cx vtnu^uc fhc^^ore fimplici oriun- 

 tur. Pro primo quidcm fuflore fi ponatur 



A ; B-i- ;, C-;, D-f-;.« K- ctc. 



R=: 



r ri-\-r* r*~T~ ri ^^*-' 



crit intcgralis pars indc oriuuda zzz- f: 



-4-rx- 



At 



