FORMJ^LAS DIFFERENT. RJTIONALES, X09 



j fiet ^ — i^- ct S= —=lJ-x — ^nb^^^x''-' — 



_7n— rt-f-i 



»«"-' atque ^ — —-jiir' » qu» valor congruit cum 

 -^T^ feu — -j^ ob q— —b pofito A' =: 5- j eft enim 

 ^N=:-«^\v"-'^.v; et -^^— -tAt- = 



,,771-71-1-1 TO— Jl-4-t 



„^«-. ~ Tiy^ P°^'^^ ^ = ^ Qaocirca cx dc- 

 nominatoris a^ — ^" a" fidore rfr — • ^ a^ integralis fbrmulao 



"z — 7j-r- naftctur ifta pars — r- — J 7- ~ — ^37— 



l{a—bx)^ quae priori via finc fummatione ferierum in- 

 veniri non potuiflet. 



§.13. Duplicem ergo nadi fumus yiam partem in- 

 tegralis , quae ex denominatoris N fa<ftore quocunque fim- 

 piici oritur , aflignandi. Sit enim in fbrmula difFerentiali 

 propofita -^dx denominatoris N fador fimplex p -\- qx^ 

 erit integralis pars ex hoc fiidore oriunda vel ^/^^tts 

 cxiflente S = ^ip^ , vel ^i^Ip^qx-, pofito in vtroque 

 coefficicnte vbique —~ loco .v, quem valorcm x obtinet 

 ex pofito fadlore p-^qx — o. Qiiouis igitur cafu oblato 

 ea via vti conacniet , quac fucrit ficilior atquc ad opcra- 

 tioncm accommodatior : pcrpetuo enim vtr.iquc via ad 

 eundem coefiicientcm deducet. Sic ia iiac formula diffe- 

 rentiali 71:^3:1—^ eft M n; i , ct N z= i -h at — 2 1'*, 

 huiusque denomiuatoris diuifor i — .v , ita vt fit p~i^ 



O % q=. 



