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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 141r, page id 00068199:0281
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lxy = X dy + dxy = 1 aX L’y + 1. d’X d’y
dxy = lxddy +2dx dy + 1 dex d = 1 d Xd V + 2d Xd y L tdaxd 9
(xy = 1d X dy = 3dX dy + 34. Xdyt1 d’xd V
d (xy) = 1dxdy F Cd x15
e
jec
2
X+Y) 1B
eu
d = 1dexdy 1
d (Xy) = 1d
ec
e-1
y+ C. C- l (2, JC 2y
16
d
12
dy F es
ey +e d Ip s
at
ata
et p P2
a
2
1.2
C. 8 - 1. P. 2 Bp de
4
Xdy. +
1.2.3
1.- 1. -2 (C-du
d’xy = 1dx dy + 24xdy + 1d Xdy = 
pedque Z AZ
e
et fit ydxFdy = 175 z dZ et yX = (dz 52.Z
commodum hic est ingens in differentatibus, quod non est in potentia
libus, nempe quod in aequation aequatio in partes una per paltes
ex
Exgr. si conjungantur id Xdy +2 dxdyt 1d Xy7- is
 mdmam
siet _dxy+xdy + dm (∞Z) = B am sindm
posita am constante
Ea res spem altioris Analyseos facit. praeser
tim cum in potestate sit fingere unam lequationem, quae
pgestum speriem progressionis determinet, quam assigmare
alicui quantitat varianti licet.
3.
yt ete.
pGtete
aequationis institui potest summatio, non vero expote seu exdisse-
rentiatio, non vero expotentiatio seu extractio.
10
dn (148 d v + 1d Z d v7
2
13
12.3 a Cdy tetc.
1. 2.3
kty) = 1p XPy + 2pXpy + 1pxpy =  ab. fit X+y = p ab