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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 2r, page id 00068199:0003
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et
(Xd Cdy: dx)) = X(dy: de) y + a
X = +aa  1a, b-4a
sit Rec b + VRx 6-g = H(XX + as)
ddu = ex lx exdx
dyld  ex dx = aa K: 2V ex (Ab r cX + 2b d CX) Ax =
aa
bieex
possumus X et y assumiere pro arbitrio
sde ee fiat = y
+X
prodibit (X dx = Kx Xs.
X = (dx (dx
bix
bIX
probatio Candni adyid dy dux. dxdx
+X
e
Eexddus dytdax: du
a
cdx exsile
a dbix bix
et sit dx constans
L X dx (xidedex)
X, dx dd  dys ddX,: dxdX = X
(X d(dyodX) = X dy: dx - y
ed
it y= (r (XZ ) y = sser (X2 + ab)
=
X rab)
et
Ik+ ab)
ex VI3 + abX) l fiet = X Y(x t abX)
lin altimum en
ergo quanitur
X
d (dy: dx)
rev
g
xx + ab dx
2 Y( + abX)
3(( xx A tabae) +  (ab RS (X tabX)
Xx tab
ux
2) Xx+ ab
KEX3 +abX ) + ( l X + abX
seu frit 2( dx Y(t ab) = X Y (X + abe) = (dx X (x taba) 
XX
d XX +ab
v
xxta
dendum an ho ex hoc carione veniri
ex ad possit ad exaltationem contenbi
t
axtas
a odx =y)  X ddy: dx = Xdy idx: dxdr + dy - dus
Isdu x ex
Ergo
sit
e
adx = X dx 14 dx
btx bIX
(X d (dy: dx)) = X (dy: dx) - y
Quaesivi aliquando
(ag. x)
(
 Vaxtas)
du = Ex dx: XXtas)
d, dy: dx) = dx ddy  - dydx,: dxdx
d(dy: dx) erit =
anon
mb irrationali sane etsi laci assumas
no multiplicando sea pro ∞ assumas nic
aq
b sex
prodest, quia transfertur ex numeratore in numeratore
mutfplicando et diferentia semper ejuldem est
rratonalis et exaltubionis in grationeti ergus speruna