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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 127r, page id 00068197:0253
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absd+ bmD+ an =0 ponomus e et n dari per X
ed fiet + ab du + dm +mod tatidn = 0
sit data aequatio aady F yydx + Xxdx 20 fiat y v+p
et quae comparetur cum aequ. 3, et fiet x= - 2, et
m = xtC, et p= LX +
+
et yy= 9quvica +29p a +pp et ex aequ. 3. fiet
agde avdque au dp + Cqquvragdr, quae dividantur 
X2qpVdxia +ppax
+ XXdX
omnia per qua
+ quedxiaa t b = -a
10-- aad V L avdq: 9 - aadpu
+2pvdxia AppdzE:q
+xrax
fit b=-a m = sadx
in oquatione data si
fiet dy = g: c. dv + v: a. dq + dp
yy = 4qN: _a + 29pvia + pP
aadyus =C - agdv + aggdq. - aadp
egydx  +ppf: a. do + E9p v: a. dg + ppdg
+XXAX =
rffa
D
99f. a. dv 725: a.9ud9 +ggdq
comparando pum ag. 2
et dx = f: a. dv + via. df + dg sit df20
00
+ 99f. v0: a. de + gquv. aa. dg + 2fqp: ac. v dv
ce
ffrv: aa. dus +25f: 4a. 9vdv
et cod cd
+ F,
rvdoiaa +
et codco2
rr: aa. vdo + r:aa. Wvdr F rt: a. du + r: a. vat + t: a. vdri tat
et coco = rr: aa + 2r Ev: a + t
+2rt: a. vam + ttdm
+ meodoo =Mrt: a dv + mr: a. vdt + mtdt (1t L- 1)
acodu 
x+9
Se
XX = ffNOV: + 2f90: a +g4
ua
et le et deo) Yd b: t varia + a+
fiet et fiet
+colodm=
noan
qu: a) + P et X=
+f: a. vodo
Explicetur jam aequatio 2 in q
tab dco F dbdo + b var
et
47
et ex r duta siet  audo + vodx + 2podx + pp dx + Xxdx = 0
fiat yL quia +p et dy (9: a) do +v. adus + ap
C
l
dn
+mt:a. vdr
 van Aa
rreaa. vudm
comparando
et am: M
M
e
2
e
sin logm  l0grC
eunde fiet
C
ex
Br
oF Fg9f = abY,: r BrY jam uterus tenumque secundum par et
V me
ax fit t- aa
mr: da. rvar
ae
F. Ie = M seu p logY +e = loc
94 +ss = 0. seu  et d9-0
sit ad seu
6
l
1+ Ya1)
mutiplicentur ille per mtin at, hicper
t sublata an, restabuna aequatio pro literis P, g+
ublata d
sed Pdutur per 9. ergo duei restant aterest
mirrna va