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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 16
# Folio 4r, page id 00068229:0007
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res quaesiti
a+x Xiy X. y. 7
X- y=
X-Z m
similiter   y = a
X+)= 
y - Z = n. sit erit _X = a +I e et
= C+n. seua-
e
e
2)a
e
V
a
y+Z Cx c2
1)
em +b seu a+ m
C +n denique b1
2
2
=Z - b=n = C - H
Et ex tribus aequationibus 1.213. solot pote)
C n
seu b=m
debet esse
Xer X+y=a2
p2.
problema cur enim sex essent aquationes jam tref lifere sunt
quis velit considerare quoad fres priores
sublata. sed
ex sex fundamentatilli x y Z ite a, b, c esse postroeoploras. viderdo
xs
an unc ufilitas 0urgo tollantur tres lilerae tantum per C mn, sieC
X = m +Z. fiet 3 = m +Z - (V = n +3. fiet etf m - n + p
+y. et 
ne
nec tamen reperitur y. Ergo nectres literae totei possunt per solas differentiam
v
se
∞
aequationes scu per El. m. n.
X= a - y V-Z. fiet y = a- b +7 = C-
b
2
0
+
et X
y C+b a et 
fit: L.
s
2
e et y = c
b+a ccf erb
e
et X et  allo a+c
Lingamu problema ita esse conceptum, ut tantu
esse debeat x - y = (2 et X -Z = m et qu Z = n et denius Z -  a +b + c7
d
ruasus
Nat inveniri sequetur n = b + n et x = seq e l+n - Z et y = n + X
l
n
equationi M = 1+n addatur a
1a
qucet
e
= a - b ex l et 4  ∞9. 2. manet
at aequ ex aeg. 3 et 4. fit ber be  I.
A
6)
2
C= b-c. haram aequa
2
tionum 5et 6 ope tollantur, l et n ex aequ. 2. fiet: a. 6 +c = C + a - 
quae est identica ideo opus est tantum ut solvamustres aequationes 4,5,6
2
sit ab sint aub ratb a +b= R d
a- b = do2
2
b + C = f 9 b - C = f92. fit n = de et l = L9. sed et m d
sed a = d
b =
f9+ f9r
de b = de- der
+
C= f9 - f9
ergo fit Lg ob; b, de : f9:: f+g: d - e. sit de =hs9 fit
seu a-
l
e
1
ec d de hd - h1 = f + 9
f+9+ he - hF9 fit: ef + (9 + he = h f9 habetur ergis valor d. et f substituend
in  h
in aeq.  quae ultimae est F=esthec. h9C