Opuscula. ip5 
In hac difFerentise accipiantur, ut fiat 
-f- f . kdx ^ cj , cdy p — Vdx -h- p — f . Udy 
~ Ax-{-B-r- Cy Vx-hG-hHy ' 
Aequatio a diviforibus liberata hanc formam accipit. 
/'H-f . AVxdx-h i^+^f ' CFxdy p — AFWx-f-/ — q. AHxdy 
f-^q,AGdx ^-\rq,CGdy=: p — q.BFdx — q ,BRdy 
jp-f-f , AHydx -f- /'-f-f '» CHydy f~q. CVydx / — q. CHj^. 
Quae, ut coUatio commode inftitui poflit, in hunc modum 
difponenda eft . 
f-\-q, CBx -?-p-f-^.CGH-]?-f-^. CHy 
~f- f . AHa: — j^H-^.BH — p-H^. CHji * 
p — q . AVx -\- ^ — q,BV-\- f — q. CVy 
— jp — ^ • — i' — ^ • ~p — ^ • 
III. lam vero hxc ultima aequatio comparetur cum 
aequatione data, qux legitur N. I , & orientur xquationes 
fex, ex quibus conliantium indeterminataruni valores lice- 
bit determinare . 
4^ ) — 2^ . AF 
5 BF— AG=^ 
1 )p-hq.CV — ^-hq.AH^a 
) J^q , CG— p-f-^. BH = h 
3^) 2f . CH = c e'')^-—q.CV — 2~q>An—h, 
Quando fex funt coefKcientes deterrainandi , & duo expo- 
nentes, conftat , cum de coeflicientibus , tum de exponenti- 
bus unum poife pro arbitratu determinari , 
IV. Ut exponentes , & f definiantur , huiufmodi 
ineatur calculus . Multiplica aequationem tertiam per quar- 
tam , & habebis 
3 fc 
n ) CAFH — . Adde primam & fextam 
¥M 
8^) 2/.CF — 2/, AH=:^-h/^, Tive CF — AH -^zl , 
Bb 2 De- 
