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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 9r, page id 00068199:0017
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M. + nyd  N pro aequatio data f+gy + heus + K yy + lydys fssumitur in tugtpdus tgRyy + glydus
Assumatur n + 44 ny + pgu + ghdus + qldus = 0) et fiat +f9 + g4)+ k479 = sed ibi son tres arbi-
n = hc
dm + dn y + ndy T dpyy + 2p Hdy
rm t rny
p = _. l9 :2
Seu P = 2k - l - = +(lq.
Ergo (RK: L - g: h) =
seu f log 4
= 
+rp77
dp: p + Y =
si sit aequatio data
f
(9 - dh) 2
g
=m = ny pyy
datae per 4, seu f4+ 99y +hasdus +Kqyyt lgydys
V f9 +99y +hqdy +k9yy+ l9y dy
RLg: 14: 2 = 2K. l seu V = 2k: l - dp: 
hdq + gdl H(k h) M
99- naq- gdh Cerm i ha
ram
+ hd 4 = Y. sed ita
m
m
nil lucramu
f + quthdy + Kyy =0
e
ih - d(h9) :hq
logl + L logq = logh = log a
vu -
h du + k 9)L
etk + ldq
+hgt gc
et habetur F absolute
9
n pdp rapus.
et utribiqe evanescit
m+ L+
Hoc ergoaddetur
sit r n = hq rhq = Kq
ergo Y = K: h
divellatur haec aequatio
in
du AL
Fei
M
e
ck
naque
.Itaque hic non procedit
du dm tndy
s
go dum dux ndv M+ nth_=
M  ny + se
il
a
v
unde don du l +ydn
my + dy F du BY + n9 d fiat v = y+ p
fiet +m P + my L may + dugus +ngdus ~ 95 + 9gy + ghdy +4K yy
an pp + dnz du
+ ns dy
assumatur M + ny =0
dm +t = s+
M
et faciendo m = eq
qvasila O = m + nB + SaB fit m + dn  = n dB + a = 0 seu
in Aequatio datao=
in dp
A
~ fa +94y +h9dyt k9yy
restat haq +(K. t) m = 0 et am +nt
a duas
fit Esq hedq hqde = egq- etdq egdh - r
nm
g7: n - dn 2n) =
+rnyg
qdh + hqC
Ergo fh9g- hgdm = gmq- hmdqu - in quhi
1tg 1o = log lg - logha -
 log. l -+
dm + dn y + n dys
e + rnus 
me tntqus
+ = f9 - dm, :m -
h 94
traria
9= 29ty 2p: l = dp: K, et habetur p  nam _ s: p = 2k: l et log p = 2 sK: l et p = b =
rursus
 dt unei estisie vrtianet
yy
qu mp + mdo + dapp tapap, is
pet
ee