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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 60r, page id 00068124:0119
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a + ab
Evolutio in
+ a2
+ a
+ a2
quadraticis
a
+ a2
DCa = 423
X
biquadraticis et omnibus potest atibus panbu
supponit E volvendum esse
affirmativum aut
deg
habere praefixum
422
Hac scripsit Osannam
Phonius. Quot dimensiones vel potestates habet aequatio, tot habet divisores, qui sunt
quaedam binomia vel residua consistentia ex incognita quantitato et radice
ut: aequatio: (X2 - 4 X - 19XI + 106X - 120 =0.) potest dividi per
 X - 4. X - 3, X - 2, et X + ) et ideo:
Haec ille:
=
+ 4
+ 3 l ut facile probari potest.
12
probemus ergo, si X = + 4 + 3 + 2 -5. Ergo X = 4. Hoc applicemus aequationi
256 - 256 314 424
X4 = 4X - 19 XX + 106X - 120 = O
data
(+ 4
Sed non video qua consequentia ex aequatione duxerit  haac aequationem: X = + 3
quae fuerit
Haec scripsi anno 1672. Unde ignorantia inea illis temporitus hs
aestimari potest, ignorabam enim intelligi debere radices esse
vel 3f 2. vel 3. vel 4, vel - 5. Excimplum quo apparet quam saepe
Ab 16
1t
0
a a + oa +0 a +0a +0a
2
a 11 1.
X +5
quae nobis clara sunt lectori non semper
 Ergo si sit a 1
talia appareant, etiam diligentis
b.
y + b.
a B 1.
X X+Fa (I a.
xet a e a  ad ( b et fict: y +b y+b e b.
X+ y
+ b p7 qu
al
2