:2 METHODVS AEQJ^ATIONES DIFFERENT. 



extendere conftltui , regulam qmm loco citato dedi pau- 

 cis repctam. Patet vero methoclus mea ad omnes ae- 

 quationcs in hac forma gencrali contentis : 



— A }' -\- -di -\- inTi- ■+- 'dx* -r- 'rx~ -T- dx- ' H- etc. 

 Vbi diflrcrentinic ^.v pofitum cft conftans. Ad huius ae- 

 quationis intcgralc fuiitis terminis cxprcfTum inucniendum 

 cx ea formctur (cqucns fomia Algcbraica : 



cuius quacrantur omncs fidores reales tam fimpiiccs quam 

 trinomiales , intcr quos , fi qui fucrint inter (e acquales , coii- 

 iuncftim rcpraefcntcntur. Ex quolibct autcm fictorc nalcctur 

 intcgralis pars , et , fi omnes illae partcs cx fingulis 

 frnfloribus oriundac in vnam fummam coniiciantur , habc- 

 bitur iotcgralc complctum accjuationis propofitac. Ex fc- 

 qucnti autcm tabclla partcs intcgralis cx fingulb factoribus 

 oriundac defumentur. 



Fadorcs 

 z-k 

 {z-kY 



{z-ky 

 (z-k; 



etc. 

 zz-ikzQoi'. (p-\-kk 



{zz-2kzQo^. (p-\-kjcy 



{zz-ikz cof (^-\-kky 



kx 



Partcs Intcgialis 



^a-l-p.v-l-Y-^"')^'''* 

 (a-f-p.t -^yx"-{- $x *)e^* 



ctc. 



ae *^"^- ^Cm.kz fin . (^-{-%''"'"^- ^ cof. Lv fin . Cj) 

 (a-V- f3v)^^ "-^- ^ fin . ik.v iw . 4- 

 ^5(-l-55v/*"-^"^cof LxCm.(p 



(^l-i-S^v-^Cr.vy^^^-^cof )tvfin. (p 

 [::«-2fc.V cor (p-^kky (aM-p.v-^y.v'-+-<J.v')r**«J-^fin.a-fin.Cp-|- 



(5^_^g3.v-i-^,v'-|-5)vV^^°''-^cof /k.v fin. 4) 



etc. I «c. 



In 



