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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 64v, page id 00068198:0128
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i
a
e
(proarbitrio
quaeritur an lice at facerede
.. 1
ddx de
dax
Aatu C(XC 1 42  2
t
es
s
a
 fiet dy = e XI=
et ax
Eti ddyeddu
e
.
 aC =1) dx = dco. et
1
(ddy: dax) dx x: = e
fiet (. tX
seu C. (- 1. X
p
a. adx1
C. C - 1. X~- 2 (dX dx: ddx)  + C. H P =
sit jam
voc simile aliquid,
eld, vel- Xdx (= deo
constanti vel simile aliqtui. st. ex. qua V =.. X a
C- 2
P-2
6
e
X: ddx = a doo
dx: deo =D a ddx: dx Ax seu e(e- 1: C- 2) X  =
in quo nihil incommodi. Ergo etiam nihil incommodi eut
is
si utcunque sibet faliamus in similibus homogentis, 
e-1
.
si sit d dy.dx
adx.  dedva deax (adx: dx = ddv: ddx tav: dx
sit aqu
sit diff fiat dx Sddx: du = ex dd: ddx + do et sit dx ddo: dax = dco con-
deo
quic quia sit aequatio
Santi fint ddx +  ddx sadx: dx = ddo et salx: dx = ddv: dax - 1
x = -dx et hoc catu fit v = A - x. videa.
sddx: dx = b   -ddx: ex _ LF = dax: bdX
quod ssincedit
+dv.dx et
Sddx:dx =0 seu dx hoc catu fit constans. Non male
ddo: dax
Ex ddx: dux + dae = deo et exs adx: dx = deo, fiet
mus an vere
ai
Li
 + dd sddx: dx = 0 et logex, erit constans quod non licet C ,
es
fipt
quod licet. Et valorem repertum substituludo in aeg. 1, f et. 1 = Idv: dex
ad
l
sed redem
ay.
 Cdu d) dex : ax =d (dv: dx) :
su quae datur per quadraturas. videamus jam auliceat
unde den. lu at
sans negatium Nam inde
linet etiam idx constans nam fint dux Slax: X = 0 ob ax (dax: dx = deo
+ du: dx
Sed an non hic absurdum, ut tdx. X sit
1 - (dv: dx) -
et, Aldx: dx =
- Num fieret ddx-dx = deo, seu dax =b. Ergo
(ddx: dx =
foult is
non
Resp. imo fievt. Nam in tali casu non ponenda
ergo nc
(ddx - -dx : dx = - 1 ut ante. Niml
nec ne quid temere abjiciamus aut pro
sed fiet ex
talbipsius
ed viduamus jan an aissumtati turi o
tantum notabilis cautela
valore liceat disceodere impune in differentiando inventoigitur
0
ddx =
absurdi.
habeamus
sddx: dx = - 1 seu in aeg. 2. - 1 = ddv: ddx + dv: dx
et pro pro
li seu -dx  = ax Adv .ddx + deo ponendo deo fit a dx =deq ut
aqudo
ante, nec proinde hinc incommodum, cum prodeat aequatio tventa