31 METH. IMEC. FORU. DIFFERENT RATlON. 



Hiicc autcm ditTicukas vcrfatur in iniicntiouc fcrici i-\~(X 



;v:-t-5.v'-|-Cv"-f-t).v^-+- ctc. qaic rcliilt;U fi dcnomina- 



tor i-\-ax-\-^.v'-\-y.x'~\-ctc. \cl pcr i-f-/).v vcl pcr 



(i_|-p.v)* vcl pcr [i~\-pxy vcl ctc. diuidiuur. F:Ki- 



lior igitur ciilculus rcddciur fi pro quouis c:ilii in v:ilore 



ipfius V loco littcr.mim (|, 5, C/ ctc. c;num a:i1oics pcr 



a, p, Yi ^^^- <ubllitu:imu-. , qui cuin fint (pontc cogniti 



iDutntionc littcr;irum 0/ 5, C, b, ctc. fupcrlcdcrc po- 



terimus Gifu igitur primo §.23. pcrtra^fl.ito , quo dc- 



nominator i-\- ax -{- p.v*-+- y.v' -\- ctc. lcmcl tantum 



diuilbrem i -\-px admittit , crit : 



A-^B-f-;,C-;:D-|-ctc. . 

 V = — ^-i;53.T— -^— (§.i8.) 



quac n{x;r.uio, vt adhuc brcuius ablblui qucat, ponatur in 

 fonnuhi ditfcrcntiali propofita 



A -H B .v -f- C .v'- -t- D .V ' -H E .v* -\- etc. 



i-+-a.v-4-(3.v'"-i- Y.v'-i-^.v*-i-£.v'-i-ctc. 

 mimcnuor A-i-B.v-HC.v*-f-D.v'-|- ctc. =. P 

 ct dcnomin: 1 -{- ax-\-(i .x' -f- y .v' -{- ctc. — (1 

 crit V m ''^s— pofito — ^ loco .v; quo fido obtincbit V 

 eum ipfiim valorcm pcr /> cxprcfiiim, ijui ipli conucnit 

 pro calii , quo 1 -\- p x cfi firtor dcnomin.uoris Q^| cx 

 hoc-]UC ficflorc intcgralis qu.icfiti pars oritur hacc 



V r Mi 

 p J ,tpx 



§.29. Si dcnominator 'Q tlictorcm habcat fiH-/>.v)' 

 tiim fumatur V rr -^qT^ poncndo iu dilfcrcntiationc 

 jpfius Q..V variabilc ct dx coiifians , tumquc loco .v fcri- 

 bciido — p , quo f.\{to V fict fundio ipfius p , qiuic proin 



pofita 



