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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18
# Folio 2r, page id 00068231:0003
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# Lines: 66 recognised, mean confidence 0.71
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utilissima
consideratio que ostenditur
unam ladicem orrationaem ae aquationi
sit aequatio de x pX + qX + rX + lX+Vaeque
ponatur
generalem significatione sua ambigua
exprimere Reliquas omnes
de aequ st + SmS
Mirmre uane ineAequacec
cum omn XX + b X + bb radicem habet
a aequ - = b + b
a
s
er
 Hinc X =  b aeq. 0.
e
tres habet
is
calteram X aequ 22 b + = b f-35 vesus  
A
datertiam X aequ =  b = = b f-3 
1t +
a 
Eehinc si aequatio sit V+p_ aequ. 4.
Le tunc tes hujus aequationis radi
+
erunt est  aequ. 3)9+ Y 22 + p3 + 3s9
au ergo
V
et reliquae duae radices erunt
pee
 aaqu (3- 1+ .3. 14+ 54+P +
 aequ - 1- 1.3
videam et
14 27
(9+3q + ph 4
2 aliter + 27
4 ei
e
-141.33
2
Aliter duas radices inveniemus:
at
2 4∞
-13. 4-1
x
2a v
2- (2
1
y X +pV aequ 9. sit ex +pe aequ. 4.
27
fiet +y3 + py aequ. 0. seu divisis omnibus per -e
fiet y  ey + ee aequ. 0.
-C -pe
ergo y aequ. -e + s = 2 ee - p
quodu
inquirendum
quod con consentiat cuus praecedenti, nunde
men
au
discamon auliceat semper pro 3)4+49+ p
t
tc
quosvis omnes tres etus valores sumere, sedan
verolocum habert unum tantum
verte