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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 91r, page id 00068199:0181
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et fil
 nelt: a) A (dx: aa - = n(dt: a) - = n(dr: t) + L, A at: 11)
 = L LCan : a) = = ran: L)
Z(F: a )a + 3 V: F) n
qui valor ipsius ah aequandus priori ex aeq 6. et fiet aequa
tro g. pro qua sunt duae adhuc determinardae Y et E, atque
adeo una est superhumeratia.
Quod si ergo Y sumamus
pro cognita constante, fiet dr =0 et utraque aequatio
4q. 6 polenit solvi perquadraturas;
at non ag. 8
vedeo  jam aliam rationem cCommodiorem.
Nempe servata aequatione 6. et manente Y
indeterminata fiant . vdo = 0 et . vv =0
quod vidatur succedere, nam ut sit ,
i vdo =0 fie H = ar, et ut sit. vv = 0, fiet
(0mo) adt: t = pdx: n. Habentur ergo F et Yper X
Et horum valoribus substitutis in aeq. 6. habebitur
IImo) aequatio cujus opes habebitur sah: h per qua-
quod si p sit =0 tunc t erit soustans
 des Hy + G dy+ ydr +ax 20 fl 191( qua
sont datie multi
unus casus superest, si n sit 0 extet tamen r et p. plicirio
per qu.
nam si ubi hic calculus non sufficit. Nam si simul absint rato
p1
sumabilis  s
n, Y, p, habetur solutio; a iel item si simul absint n et p
et denique si simul absint n et r habetur solutio ex jam
cognitis. Sed si tantum subsit n; caeteris extantibus,
ln +va +
licebit sue procedi, ut frat y = tv + Y
posita t. constante, et Y indeterminala
Et in aeg. 4, aberit vao, quia n -0. superes
ergo tantum r sic explicari, ut evanescat
terminus absolutus seu sine V, jis est
art ampax s nner
este solubilis
tatem in quage ebandus sccutor
u
seu draturabiris
per
paxer au
video sande redire cu
eaam nota
pal
jam noba
hoc modo, et aeqq manenlit
tinlum
 Ergo et
et 44. h modo sit quadraturablse Nam
an continet sol
die. Hic si q esset constans
solutio haberetur proc r sumendo
podaee
e+, posto
quidem d in hoc
et e esse constanterum ut qhit constans nocet
casu semper est in ptetieque enim
indetemonata ab absolutae termino
Habemus ergo tandem solutione oman, ubi n non uttra dy, ygydy, yG
dh
vo
sic par a
H 1X + 1Y
Vn V WV
h
draturas.
ut et 
icebit
B
n
tiaeferatur in terminum eu
luo nondum in casu quo abest t ydy
0
itaenum v rai
nescepti
ia terminus sine1
sed hoc vidiouom
gieri nn
hoc caju res
non procedit
um