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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 103v, page id 00068200:0208
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talsae
infinite parvae
et horum potentiae nam x et dax sunt ejusdem gradus infnite
ilfuil si tamen ponatur dx constans ddx fit o. et
si ponatur ex progressionis geometriae, erit x
seu x ecit adx etiam progressionis geometricae, nempe B X.
posita B. infinite parva constante.
a+b sit aequatio
a + bX + Cy + exy +f X + gy + hxy + K Xy + lx2+ my  etC. 0
bsx + citys + exdys Ffxs 129yd ypalix stus +KX dq +3lx 13my ly 8CF7 0
yar
+hy x Fikxydx
C Tentamenti facilioris causa ponamus h. K L in et. 10.
fier bd Hinc patet in aequatione differentiali indeteminatus
summa indeterminatas uno gradu esse inferiores.
quonata alyte sit  dy n e fiet dus r
dly p
apdus - p ady
P ee
2 ddy   dus
tus
Hinc patet non posse quidem absolute dus inveniri per
daus posse tamen in lato problemate tolli omnia solis
relictis dus dius ddu et ita porra niso ad hibeatur ex
sed in brevi minoribus problematis icipiamus
a + bx + cy + exy + fx + 8G 5 0.
b de Xdy + 25a dp 1 29yy (70. seu set du brefxrey
ie y +x
rusus d B
x
s
adus x adxdus
da
s
dx 1 c+ 29y + CX
Nam Sed quoniam nihil refert quousque excrescat d modo
toltamus aus. Hinc ita procedi potest: 1, dx A dx dus d dl.
de O
ue modo  fier ds
du
dy 1
dds y + ady .x 1 sunt autem O et D etto
prablematis fiet: dis 
rursus
t
A
dus
1 afa+ todatae ex natura us
p problematis
. + ddx dus + day  (+O +D (4) D 40
d0D
d B  D ergo dis  d Uade patet ipsius
ex
di quoque valorem haben posse per solas ordinarias quantitates,et
per ax. ey. x adu fier enim dep  O dD
D do Fddxdus + daus de
quod est summe nemorabile.
Eodem modo quaecamus 
d+ (id est dx) f Aliter et brevius: ex du0
4ut
Eodem modo quaeramus d’+ fiet.  Hinc duplex habetur
de dy vator ipsius dex unus qualis ipsius dus
alter qualis nunc ex superiori sit.
iy dx B 1 + aaxdu f ddys lx 
quin imo si non curemus quousque assurgat  dex.
rem brevius admc conficiemus, est enim:
Erge d’yp d+
l+
a
D2
0
aequatio
ety y e
tus
x
dx imposterum
fignificabit ex
et ddx significabit
dax
et dX sighificilut
et 2 x significalit dx
et d dx significabit
t
et d’a’ X significabit d dx
et d’ax significalit d dx
sed quisiquid sic dyddx
tinecessano lineolis opus
t nempe dydax scubamus,
sc
tantum atticie
do si upliater sum