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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 205r, page id 00068198:0409
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e
Atai XFyE dus: dx seu Xdx +adx = X
sit Nex tacD, et Xdy +dB
X+a
Ax
B
gdy
C
 sin reeadute ponendo in unum
xt omnes terminos, in quibus reperiuntur y et dus
Assumatur  qualiscunque per X ot g. Et sit Lyn
et uus differenta
et
e
(sL
f. c
x y, dyd sit V= X, V
, (6)
do  X, Y, ax1y lebet esse do = d, X, dx
ita enim per filaeq. 5 fl do
x aq. X.
X
am
D, X, dx adeoque
95
lX dv:dx=
X
et habetur
V quadlatorie ex X, per 8. atque adeo per S. habetu
(9) y ex X quadralorie quod desideraebalu
Tantum opus est invenire v.
sit  Nec refert
sit v= a a+bx +cq+ eKY, sixx agru etc. fiel.
du bx sit sit vX 
es
1
lro Mor
sit V.
du
_. 0K,Y.
debet esse
Si
H
e Li
este
der
elae. Fietqe
 L (11) page un
d
au as
lore
t
 a x,y dy + aXs sa
ret l1x H.
t (BA
Ndy =X. C
sed video rem esse impossibilem Nam in
t
dx y dx necessaro eodem modo sperest y ut
in
X
re
An sic. adoeg. 2. ascribata
est
alia inempe. xd audx Xdu 1 ydy + x ex + dB X
4 se
Kax +adX
et ponendo
l
xilus tydy a+ e
15)
2
X+y. Ex+ dy
aru axtay
e
divillatur aequatio in dua 14 in duas
ul sit a 50
(Xta dx et y = axidus Eti
hnbemus
onem
xtadx =Xty ax+dque 4uae Xtyue
dua ag. 17 et 10 debent esse coincidentes.
sen
19
o
fi posito X+y = Z
et ex 17 fet = des
et Xta dx  dZ iquarum opt tollendo
ex aeg. 1 ipsas dy (per 17) et eu per 20, et
t
et dx per 21. debet restabit solum7 et
5
e
hoc cata dul fitidentica.
et explicanus