120 DE METHODO 



Solutio. 



Cum fit $JZdx—J$Zdx, quaeramus ante 

 omnia ^ Z , ac primo quidem ftatim patet efle 



vbi, vt ante, habebitur 



^P — T^, Sqzz ^; Sr~-^J-^ dj — 5-^etc. 

 vcrum.ob B^—BJ^^dx—J^^^dx, crlt fimUi modo 



^'^-=^v^y'^^^p-^Qi$q-^tii^r ctc. 

 hincque 



^^^Jdxi^^^y-^-^^^p^Ojq-^ta^r etc.) 



Cum igitur primum membrum forroulac S 2.dx fit 

 L//a;^(|), erit 



/L </a- ^ $ r/L «^A/f ?y? <5j' 4- ^ «J p + a ^ ^ + SK ^ r ctc ) ^* 

 Ponatur nunc /L^/a-zhV, ac iiabcbitur 

 JhdxB^ — NJdx{^$y + ^$p + Ojq-\-^^rct.c,) 

 -J^^dxi^^^y-^-^Bp-^OJq^-^^rttc.) 



Perinde hic eft, qua lege integrale yL^/.vrr: V capiatur, 

 quamcunque enim conftantem adiiceremus , ea in hac 

 exprcflione iterum tolJeretur. Ponamus ergo irtud in- 

 tegrale ita capi , vt euancfcat , pofito xzza^ ct quia 

 variatio differeDtialis ad tcrminum x—a accommodari 

 debet, crit 



/L^A<J$— -/V^A"(0?^>' + ^^p + a^^-i-!){<Jr + etc.) 



ad quod fi addantur reliquac partcs, colligimus fbre 



^JZ dx -Jdx (N- VSJJ] $j+ (P- V^) ^p+((i- VOJ ^^ctc.) 



vbi 



