VmCAM VJRUBILEM INFOirENTES. 23 



definiendi , cum ea ex praecedentibus formulis infinitis 

 difficulter colligi queat. 



§. 20. Si igitur duo pluresiie denominatoris fadores 

 interfe fuerint aequales , eos a fe inuiccm disiungi non 

 conuenit , fed integralis membrum , quod ex illis con- 

 iundim nafcitur , peculiari modo efl: inueftigandum. Sint 

 igitur duo dcnominatoris f;i(n:ores {i-\-pxY aequales at- 

 que ponamus formulam differentialem propofitam 



A -f- B.v -4- C.v'-f- D.v^-h E.v* -f- etc. 



1 -4- a.v -t- ^x^ -f- y x^ -\- ^.v*-|- ex^^ etc. 



dx 



refbliii in has duas partes 



JJJ-x-f-Cirdx _. « -f- 5J^j: -f- C^» -f- eff . 



dx 



a — a-\-2p 



y— CH- 2p5 -hppa 



crit primo vt per additionem denominator propofitus pro- 

 Teniat 



h — ^- ^ap-\-5pp 

 C —y- ^Pp + 3 app -4/ 

 b = (J- 2Yp+3ppp-4a/''+ 5/ 

 Deinde Yt numerator propofitus producatur efle oportebit 



B-^-\-2^p-\-£i-^^a 



c == ^ ■+- 233p -h ^lpp -t- Da -4- f 6 

 D =5)-f- ^ (Ep -f- 33pp -\- .Db -\- ^c 

 E - ^ -+- 2 ^p -i- (Epp -I- Dc -H CPD 



ctc. 

 Ex his aequatlonibus YicifTim clicientur valores littcrarum 

 5^, 52), ^/ !iD, ctc. fcqucntes. 



