204 Opuscula. 
res eifet per fe patens , Nam noftra aequatio rite difpofita 
hanc formam indueret 
/ ■ ■ 
€txdy -j- bdy -f- cydy m — , axdx -\~ hdx cydx , qu? dividi 
fdx 
poteft per ax b -^- cy ^ eaque divifa orietur dy — ~ — , qus 
fx 
integrata dat K^y— - — . Duse itaque gequationes propoG- 
fx 
tx faciunt fatis, nempe ax h cy -z o ^ & A -f- j = =^ . 
XXIII. Verum quando in hypothefl ah — fc ^ quantum 
quidem fcio, res nondum confeda ell ; ad feparandas in. 
cognitas methodo ufus fum non ita ufitata , quje me voti 
compotem effecit. Traditam xquationem hac ratione difpono 
"y . hdx — cdy pdx — hd^j ^ , ^ . 
X = <— -;r~- 4- TT- ' Utor fubllitutione 
ady — fdx day — fax 
htdf — f^/y 
X r= Stdy , & dx-=.tdy^ & erit "^tdy —y . -f- 
gtdfj — hd^j ht — c gt — h 
— — T-r-j five S/-^y — y . y 7". Accommode- 
ady — ftdy a — ft a — ft 
fc 
mus formulam noHrx hypothefi , & cum fit h — -'—^ fada 
fct — ac pt; — h 
fubftitutione , habebimus S^^y = y. — = -i- ~ r- = 
^ a,a—ft a—ft 
— cy gt — h 
. & differentiando ita, ut D defignet diffe. 
cdy gt — h 
rentialem quantitatis fubfequentis tdy -\- — D "^zirjf > 
r T, I-r^f^ h . . . 
iive dy D^:^ --, in qua inveniuntur mcognitx 
feparatx . 
XXIV. Quantitas, qux fita eil fub figno D differcntie- 
tur. 
