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§.3- Cnm igitur sit Z^ ~ i -^ pp -*- (f -h gpY ^ diffe- 

 rentictur haec formola, ac distinguantur triplicis generis elemen- 

 ta, scilicet ^X, 3/, dp^ hocque modo reperietur : 

 Zd Z :^dx C'x -H 13/7) (f-^gp) H- ^r ((3 -+- y p) (/ -»- gp) 



-^dpCp-^ gCf-^ gp). 

 Cum igitur in genere posuerim ^Z zn M5x -t- N9/-+- P^^j hoc 

 casu habebiraus: 



z . . 



P — P -^ g (/-i-gp) 

 z 



Hinc ergo (ob ^ doii -h y p^ x — dg") fiet N f)x -~ ^ ^ ^^tl£2 , 

 unde aequatio pro curua no3tra quaesita erit ^^ ^^^ ^^' 

 zzz d . L±l_LL±_l£J. Pro qua aequatione evoluenda ponatur 



brevitatis gratia jt? -+-g (/-f-^/?) ziz S, atque habebimus: 



^ML±lPl-z^-~^J^, siue 



Quia igitur est 5S =:z: dp -+■ dg (/"-*- ^;?) -i-g .d . (f-^- gp") , erit 

 nostra aequatio o :2:z dp ■+- gd (f -h gp} — ^ . Porro vero est^ 



^ =- f^ft^//+gP) A:,(i:r-££i , quod multiplicari debet per 



z n-pp-t-(i-*-gf)* ' ^ ^ -^ 



S ~ ^ -+- g Cf -+- gp). Hinc multiplicando per d^norainato- 

 rem i -i- pp -h (f -i' gpYt habebimusi 



G~dp-h(g—fp)d. (/-+- gp) — gpqf(f^ gp) -^ dp (f-hgpy 

 seu q ~dp -i-(g — fp) c.(f -+-gp) -^ f p (f-^gp^t quae aequa- 

 tio porro transmutatur in hanc formam: 



-~ cp (x H-ff-hgg) -h (g —fp) Cf-^pdgy 



$ 4. 



