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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 24r, page id 00068160:0047
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superest igitur aequ. 10 ubi similiter explicari debent qet
u est autem n = (dx) Ergo fiet p) ex ory. 10 si negligimus 
n ap seu ( apefiet (dx) fiet: p t p) = P4 seu fiet:
pax = pl). Unde patet apn non poluisse negligi
 aequatio 10 exelicata ita stabit: 
9p (ap ) = p dx = pV (F p (a p) seu B x (dp) - de = - v
sinquidem (p) neglicimus, hoc est crescentibus. V = dap quando
recrescentibus  etiam crescunt ap secus mutato
sign vel contiam secus mutato signo fiet V = dap sed
lad tamen me male habent quod nondum certum adest indicium
colligendi quod () (Ap) iie neglexerimus, renu restituamus
et  aequ. co explicata ila stabit.
p) = (p ap) - p V  + ap + 2dpdap + dap
seu
(paripad
e seu pda  seu pv = dp - p adp= Dupap andeferet
Nam Verum jam video oquontro nec nec aliud
quiddam in aequatione 2 deb
2
v
ret explicanda debuisse
 b = p + dp.
negligi, nempe b - p = pg+ nb
et g = dp- v et n = dp + dap. His substibulis fit:
b =p (p) +(2 p dx A ax) = p) = (p ap  p V f pd p + pdap (+ dp) t ap adp
Et nenlecta quantitate in comparabili dp dap.
X 
sit v= de p. Quod verum esse aliunde constabat.
Et quap. jadu
sunt ergo v differentiae differentiarum a radiis
id vero aliunde etiam constabat ex natura impetus.
 pro iua aequatione
co: v ecor: ( = (A p) + 2 dp dap (+ dax  d p ) 2 dp V
firi 4dpv = 4dpY
d:  pt
d
C p)  corp dp + 16 dp fc0p
seu pro co ponendo a n. fit -2a n p ap + a  sp = 4 p  V
 -  + si dp = 2 p pV
-: b = (pA 2pab + dp (= p): p( B +6P +B + 4pap 
n- 9 = (d + 2ap dap + dapF ap + 2+p adp dax)
Ouneb
semper pradit,
YIn si dago seu Y proportionalis reciproce cubis ab a p. Quod tamen
Ergo aN. 2 p + dp = p + 4  ap _ 4 ddjo p.
el surdum t rem restripgit ad casum specialem Anergo non licet
daas  ejusdem diferentiales aquattones, in  inassignabilibus
quir nn alliaut uta hitat tamue ftertutenaturpe
An soite non lieet
hoc casu sumere
u pro
(B) se
V
ngdp dup