vC^",9 



) ^7 ( 



"♦>^,-a J 27 ( ><£=;<'• 



haec acquatio multiplicctur per V 'Jr^.'" -z '■—l , nafcetur 

 ha€C aeqiiatio: 



1 -V V (i XX) {I -i- X') * 



ficque erit 



f '^ J cf <~ i-xx ) j_ r dv I' ; IJ+-J» 



Deinde aequatio 



1 dv d X 



V :' V( ■ - V*J V t 1 ^x*) 



multiplicetur per 



-1/ I VV 1 



X X 



I -i-vv 1 _)_ 3c j: 



? 



ac prodibit formula exempli fecundi 



/ dx( j —XX ) — _i_ r dv _i_ A tanp" tf 

 l'-i-xx)^{^-i-x*) — V » -' >-hv}^ — V I o* 



Porro eadem aequatio 



d -!' d X 



V2 VI' — V* ) Vt"4-JC*) 



diuidatur per 



y(i~->v*)z= —f, et prodibit 



I d V . d jc V ( 1 -f- g* ) . 



V 2 * 1 — 1)* r~— *+ ' 



quae eft ipfa formula exempli tertii, ita vt iam fit 



/■ d 3c V ( 1 -t- X* ) _i_ r dv 1 r dv 1 j t" dv ■ 



J 1 —x^ V I ^ i D+ 2V2 ^l-i-'U1)"''lVl"' J —vv ^ 



quod integrale cum ante inuento egregie conuenit. Tan- 

 dem portrema aefjuatio hic inuenta : 



I d V d jc V ( I -(- X*) 



V j * I — "D*- 1 — x+ 



ducatur in 5;^— -i£iL vt prodeat 



1 ' U'i>a 't> 2 xxdxVr I -t- ^'^) 2_xjc_dx_ 



v»*i-'u* — ( i-x* )i ■-^-** ) — Ci -K-^^v; ■■+-X*) ' 

 vnde pro exemplo quarto colligitur 



r gacix I f vvd V —_ _J r dv i i_ r dv 



■/(i-xt)V('-»-«*J'~'2V»-' •-'^* ~ 4VJ-' '+'i''U^ +<:•/ j-'ut;> 



D a vnde 



