Opuscula. ' i§9 
, . Vdx itp j mVdx 
™ m H d u\ atqui = -jj- i ergo ,zdx~ -77" 
.d!^, Cive z.^:^^ .d"^. Vocatotempore=z/,obfcr- 
vo eife 4- = 4-- ergo 5 fa^a fubftitutione , z dt — 
t X 
»D-jy , & alfumpto elemento dt tamquam conftante z ^ = 
r^-^^ddx. Fiat utfit;^^^^rz: rrddx. Quan- 
do eft z> =r:e-f-x — erit A-=r(?H-J- — z-, ^ d x ■=. d s 
— //z., ^ dd X — ^fl^y — ^//z; ergo fubitituendo z d t^ 
1 J j r 1 1 ' j 11 dVdt ^ 
~ r d d s — r^ d dz \ atqui d s — — p j ergo d d s — — — . 
igitur fada fubftitutione z d t'' — '^^ — d d z , & tranf- 
pofitis terminis r^//- — zdt^^^-r^ddz — o, 
Inventx xquationi accommodo methodum , quam ex- 
pofui cap. 9. lib. 3.tom. 2. Inftitutionum . Eam itaque mul- 
ciplico per cp , qux per t erit deinceps determinanda , & 
acquatio prodibit — pdVdt — z(^dt^~r^(^ddz— o. Ad- 
ditis detradifque terminis aequalibus xquationem in hunc 
modum diftribuo 
V d t — z d t^ -\- r'^ d (D d z — r^ (p d d z ^ 1^^^ 
— z d d(p -\- r^ z d d — r^ d (p d z 
teri^iini omnes integrationem recipiunt , fi fecundum exci- 
pias . Igitur fi ponamus fecundum terminum — o , xquatio 
integrabilis erit . In hac fuppofitione eam integremus, ur, 
fada divifione per r^ , fit ~f 9 d V-\- z d (r, — (pdzz=:o . \l- 
lud adverte , in accipienda /(p //F necelfario addendafn ef- 
fe coni]:antem . Ad determinandam vero co, fiat fecundus 
terminus — o , ut prodeat cp d t- — — r^ d d co . Hujus xqua' 
tionis complera integratio, aifumpto fnu toto — r, prx- 
bet hujufmodi valorem cp = Ar\Zz.t-\-B.^Q.t. 
Accipiamus duos valores 9, atque hos maxime fimpli- 
ces , nimirum cp = Cc. 9 z= S c . ut peiadis fubilitLi- 
