SrVER TLAKO 1KCUNAT0 ASVERO _ix 



§. _o. Quia trcs habcmus variabilcs x , u , ct <y , 

 earum vnam eliminari oportct : commodiflimc autcm x 

 eliminatur, quoniam in vtraque acquationc tantum dx 

 ineft. Prior autem aequatio dat dx= ^— -^J^_; 

 pofterior vcro aequatio dat rfar= ktcli***-***** \ *-de 

 uiter o ct a hanc acquirimus acquationem w ,rv*-.,£vi-HiF V_ 



.- «pccviilltpctf. i q™ 6 P oflto cc--£ abit in »F_to 

 ^va - nFudv ___ kmVvdu — knFvdu -f- knF duVvu. 

 Cum haec aequatio fit homogcnca ponamus _>__ ffa, vt 

 fit dvzztt du-\- -tudt , factaquc fubllitutionc habebimus 

 iftam acquationcm : nF ut* du -\- znF ? u dt-nFttudu 

 -zFiiftuudt — kmVttuduk-nFttudu-\-knFtudu } quae 

 •peracfta variabilium feparatione tranfit in hanc : 



jnFffdf--_nFf df iiu ,- j. •/. . 



kmm-k*vu-i-knvx-nvi' + nvn — «" > fiue dmifionc pcr / 



. ,,. , d « inFfdf — 5 nFdf 



lnitituta in nanc — __ _. u . r ,_ K /..,.?_.. ,..._+_., kjt+tSp- 



§. 2i. Ad hanc aequationcm integrandam ponamus 

 brcuitatis gratia kmV-knF -\-nF-zzigiiF , ita vt fit 



JtmP-knF_t-nK . du tdt — itdt , 



g- tttt-- • e «tquc — — ,-,_ ;fel - ft , quae ob tf- 



2-/-/:_=:(^-^-f-V(^-r-fc)) (^-^-V(^ + fe)) , abit 



jr-. -Vfjrg-f-fr) J , — g- t -,_V(g g - f .fe ) .. 



du wr _• p _i_..l i/ 1 « e _i_ /' l • •» 



m « - -r^iii^-k) T^vtt^rn- «nn_ inte- 

 grale eft /«-/CH-^^^^^-fV^ + fc).)-. 



^^^/(^-vc^ + ^j^/c + ^y 



' f-_T+vvff$8 —/ ( tf ""*-?'"*)• Alogarithmisiam ad nu- 



meros concludendo crit u(tt-s.gt k^—C^Zg^liZt'^^^ 

 alque loco f reftituendo ^ erit v — ngV vu-^-kuzzzQ 



, _J_ _ l_ 

 (• -n -f v_— **[H+k) r u + k) - A ^ conftantem C ad no- 



D d 2 ltrum 



