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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 22
# Folio 12r, page id 00068235:0023
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demonstrativa Methodu resolvendi
omnes aequationes, imo nondio alsoluta
  bX + Cx + dX + CX aequ.d
a
fiat X aequ. l+ m + n + P et sit fiet
X tm X ImnX. Imne X + Umture aequ.0.
 in 
unde dividendo aequationes ante comparationem habebitur
ln aequ valor ipsarum lm. Imn. (mup Rc.
sit im F. Imn g. Imnso h.
quaeritur
1
LM
F ilem 1
n’ele
min mp ea
Hivalores ita invenientur: quia 
lm Im + n etc aequ. f cognitae, fiet
m (5) Im + Inere aequ. f?. hunc in
hoc furdesolido extabit lM + P nE etc. et
praeterea alia qualitates minores forrmmlae
ut
Inm inscriores, videndum an eae possint
tolli ope solarum F. 9 etc. Iude interventu
ipsius X ita videtur Nam in locum X
succedit y. Nempe yt e loco X suciedet
nunc y. loco y seu im 4 In erc. (aciede
in unn il. quatililus quae valet gu let
bimones hom omnium seu ue aummallnneque
L y.
ac
at Uum adhuc semel aliunde
inveniri possent con ex nostra hypothesi
aequationis dabe, quia habetur  Im + Ineque
quadrando silicet valorem. Ergo loseendo sollere
possumus Unim restantibus, solum im  et
m+ in erc. seu possumus ammece invenire
absolute. Ergo et omnes biniones ipsaru
em et in. Eodem modo inveniemis etear
omnes terniones. Ergo dexiqus hac arte
inveniemus totu valtum surde omneum
formularum valores quas ingredi necesse est
aequationam surdesolidum ab em +en etc
Maeterquam ipsam formulam Jm 
Ex
cuius proinde labetur valor. Eodem modo
et fortuula 15mn+ Cm p habetur valor
an habetur et valor
4 m nqp5. item
 orus jupstis lisonlest s
a
qabetur aequalio
n
bg. 0. quaesita