T6 METHOr>rs AEQFATIONES DIFFERENT. 

 -dsduct''/ z^''-^-^-^-':- et9^=r«4^* -\.. 



judii* , du d du u'(iu» , 3«Ju' , du* ds . , 



-71 1 — =-n 1 TT— -f-~77 — , qi» v;ilo- 



rcs in ncquntionc ^ j'— ^<^.v* fubftituti pmcbcbuut aequntio- 

 nem inuentam. 



sds -h :^sudu — dii[ i —n^). 



§. 3. Totum crgo ncg<->tium ad intcgrationcm hu- 

 ius acquiuionis rcuocatur ; qunm intcgnibilcm c(Tc vcl in- 

 dc patct , quod acqn.uio diffcrcntialis tcitii gnidus , cx 

 qun e(l nata , intcgnuioncm admittat. Qiicmadmodum 

 autem hoc opus fu abfoluendum in acquationc latius pa- 

 tente , quac pcr candcm liibltitutioncm cx hac acquatio- 

 ne diffcrcntiali tcrtii gradus oritur , 



Xydx^-^-^Rdx^dj-^Qdxddy-^Ddyyzzio. 



Prodibit autcm poncndo dxziz. f et-^— "4^ hacc ac- 

 qnatio differcntialis primi gradus. 



Dsds-\-sdu{C-{-3Y)u)-\-du{A-\-Bu~\-Cuu-\-W) — o 

 quam priinum obfcnio huiusmodi valorcm pro s—a-\- 

 Sii-\-yuu admittcre. Hrit enim dsz:^^du-\-2.yud u. 

 Vnjc fit 



^—Da^-\-2T>ciyu-\-iT>^yu*-\-2Dy*u' 

 ^(C-H3l)")-Ca-f-Ce« H-Cy«« 



Al-B«-K:«*-hD«'=r-A+ B// H-C«" ^ T)u'. 



Rcddantur iam nnguli tcrmini honiologi =r o , fictquc 

 primi) I -i- 3y-|-2Yy— o. Vndc fit vd i -f-y — o vel 

 j-i-2y:=:o. Dcinde dl 3 D§(y 4*- i)+C(y--f-0:po , ciji 

 ^cquationi quoquc (•uisf-icit y-J- i zzb , crgo crit yiz: - i. 



Porro 



