qimc itn fit comp.irata, vt diflrcrentiale ciiiiisquc pnrtis cadat 

 in locum rcqiientem. Ciim igitur noftra acqiiatio fit 



(^--)S--(-^-0!:;-(A-0^^-^(-v-x;-J,-^ctc. = X, 



hic loco S eiusque differcntialium fecundum lcgcm praefcrip- 

 tam feries alUimta fubltituatur, ac pcrucnietiir ad hanc acqua- 

 tioncm: 



Xr(.V-+-2)p-+-(jf-l-2)^ -4-(.V-<-2)r -f-(jf-f-2)j -t-(^X-+-2)t-h(x-h2)u -f-etc. 



-+-(.v-f-i)^P-H(.v-Hi)^'?-+-(;c-+-i)i?:-H(jf-hi)-^i-+-(.v-hi)i_'H-etc 

 -+-(.v-+- 1 )i£i-+-(.v-+- 1 )^-l|-f (.v-f- 1 )'-^-H(.v-f- 1 )i^-Ketc 



H-(.V-+- 1 ) ^-f-(.V-t- 1 )^-li-(-rA--f- 1 )^ -+- C tC 



etc. 

 hicquc primum ftatuatur X =z (jr -1- 2) />, ira vt ^xx. p — -_ /^ 

 tum vcro pro reliquis habcbuntur fequcntcs acquationcs: 



{x-\-2)q-\-{x-\-xy~l—0, 



(^_^_.),H_(^^-.i)^_^_|_(^._4_x)|_y — o, 

 (.v-h0-^-f-(^-+-0^^-^(^-|-0r7i-h(A-hi)A^J.=:o, 



(■^^-^^^-(•^•-+-o:i-^(-v-^o.^'^-+(^+o^,v(A-^o5-^-.==o. 



etc. 



§. 37. Ex his igitur acquatlonibus haud dilTicilc crlc 

 valorcs fingularum littcrarum ^, r, .f, ; pcr pracccdcntcs iam 

 iiuicntas definire. In gencre autcm hacc euohitio mox ad for- 

 nuilas nimis complicatas perduccret, namque cum fit p — .'- 

 erit up — ~ — -^Lif_. vndc coliiiritur 



' X-t-2 (Xt-i)*^ O""- 



^" ^' *-+-a <yx »JC-+-i)»' 



hincquc 



(x-t-il» rfJC ix-t-a,»* 



1 2 cuius 



