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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 25
# Folio 18r, page id 00068043:0035
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oq
dus
et
sollatitur fractiones reductu omnibus ad communem denomugalorem, d
s
compare
et peroditus formula vesomocum data aequatione differentialum
A Exemplum enigu tentemus quod non ascenal ultra secundum gradum
it sit da a+bx adx + Brhytkyy dy + d Ixany +nxX Fpxytqyu
p
arbxde
C+ Cx
a O aequ a + bx t exx dx +
C +fx 
dy ocqu.
h+k7
1+ my
Unde reducta aquatione fiet:
seu + l+CInX+ pu x +mtE)qut pX du
et ek
+
at +bLX + cl XX dx + amys + bmxy +em xxy dx
elqX + +hemgXy + (Elf9XX Lufinqxy
Mr
+blx tamus abn x + c XX + cmxKy
telp +ISpX + empy + Impxy
+. )elty (Itxy
+velrx. +emrry AlfrK +fuirXy
ge agfx theque +hexy
u
gethey + Keyy dy + ofxehfxy +Kfryy dy
elnlSRX temny + fmaxy
a
2
1
Frgque di
h+ky
E
dy +n+ lesqx +ry ex +prty
gahus +Kyn
e
E
quae a qualio cparanda datae
+Ke
eaeq. V + 1X + 2y +3X + 4Xy+ 5Hy dx, + W i X+ 2y + 13X4 12xy + 59y dus
An ergo sic malius sit dx. X
0 aeju et fx
t
Unde siet a +bxECAX, dx + egq ehyue a ky, 1fgX +nyX Y
Et de reliquo habebium 14.
unde faciemus primum Y aequ. 0.
quantitates arbitrarias pariter et 14 aequationes comparatitias
pro tollendis Nyd et et xs dy fit caequ.oat et t aequ. 2m.
aequationibus autem quindecimae et sedecimae, protollendis pydus et xydx
tatis facit faciendo blum Y aeg.0.
+
e+ sx
la my
el ems finxy
sX in 5
emryus +furxyus
emtyus Hfmtxgus
ay
+