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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 164v, page id 00068199:0328
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s
tequatio sit data 100 + 110y + 101 dus = 120yy  = 0
V + gdv + Y =0 fiat quae est aequatio jam inventa solubilis et fiat
M
= m:y fiet de = +i y ydn - mdy,: yy et fiet
aeo et fiat CD = M EG, do ydm + pam D Mdu Pnd
et
M
9+P
ut
enam
ytpe
y y + 2p y + pp
gGam-qmdy
y
. Ergo fiet
qam qmay + qpam qudp L. 
M + nI
y + P
qu (y+p)
do -
rpp + 2Y py = ryy
Y
= 0
gndp y
lm y inn
AlpuL)
+. Y. 0. unde Ipam
vam +pam + yy an (tgn du) + pndys +pysdn- Mdy - m ap A nydus nyap
mm
+q pdm +gdmy tgen ju + Opndu
Gmdp +qpdn y
alpm
di
=im dy
mdp
qu
y+ p
100(+ Hojy + 12y + 10idy
4 + = qpn = 9m, , : 101
am
f- 120 qpn - 2em - gdn-mn
2Y = t  11C 9 - ,109m - 9dm - qdn - qu dp - m - n
O1
101
fit 160 gn - 140 om - qdm - gan = gn dp - m - n = 1oqua 2∞ qu
Ol Ep
101 P
rursus Y = 100qpn - 1009m  = quam - am dp + pm, : p p = 120 aph - 20gm- qdn - min
si faciemus
en 
101
101
101
mn = m , evaescetq in priore aequalione
101
2
L nn   nan, B, = 0
-Lmn = = m =n,  evanescet q in priore aequatione, et habebitur
utrobique
 P
P.n = 110 M-
si faciamus mm
per alteram, et es priore aq. fiet 11
101
 q = Aon - 1d0 m - din -dn -n dp - 120 pn + 120m _, :,3
0
2. 101
101 p
2. 110
100 100 pn - 100 m - pam - mdp - 120 pn - 12empe
Ol
pone E esse = 1, set a = 101 :, pn = m = 100 = rpp - lp m: pam- m ap
Ie
101
 - 120 = 101 dn (:, pn - m1) - Imn = L 110 = 1101 (, pn - m) (dm + p an _ = n dp). - Im = Cn
2. 101 2101
et 101., p. n  100 = ef prictem aqu. est r= 101 pam - 101 map - (100 - lpm) (pn - m),: pp n m) 
 120 - 101 du (:, pn - m) - lun, et habetrus bis,
pamatur
log m = log p + log. C
n Cp
2it )
dumn