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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 64v, page id 00068201:0128
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 63r); this page is its left half.
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Sed quoniam sb exitum nimis inexrectatum suspicio est de admisso
calculi errore, ideoque in numeris ista expi experiri postea operae pretium erit
interea calenlum ab initio Entrahi potuisse arbitror, sup unde ab
aequatione 24, ponendo M pi l + m
Esto  Xq il ntim n, b X Hl +2m 0. fier:
X AX + ulm,  XaLorm X A+LX) a+ EmX - 2lm
A..
sumamus jam aequationem, qualis est
ab initio prosita, () num. 5. ejus numeros
nostros accommodemus, ponendo eri o.
+m.. -fIV.. - 4l m
v- l.
2n3)
ulm..
=21 m .
=a m.
+0 4219
26
fier. X   + 9gX. A Cha. po. Sed nunc video, utilius esse ut aequationem
sumamus iuneralem, quae statim ab initio secunto termino neareat, quo liceat com-
parare, cum calculo jam facto, nimirum sumamus:
x +A Cx+ un  XK
X + L +2 X+3 p
Unde jam faciemus:
2+1CX+ 2Z6+3 0. fier:
+
na 2
+65Z
 +2 X +6 f.
+6 = +6 1
+ + 11 agZ + 6a h p.
(61) pro Z ponamus l4 x fier. l4 ∞
2a
vel divitit omnibus per 893 sa
a
24X +H9 + 6a t. Bo
a
fer: 13 + as X + 1 ag x1 3e h B0
 X + B a fX + 1+ a98 + 48 a R p  pro Z poramus IX- 6f
qu
14
seu  ZH f 2 X- .f.
et y3
1I
B
ita eoteer
BIBLIOI
qy
∞a Y
+1
2
a pa C
acO
a
4
118 +0 ut fiat X, - 2 + 4 B 2.
LB-
25X 464 X - 8f
26 + 12
L3qu
2a2
+34
2a
1X)Esq)Xs
f .) (-12957).
a b4
jaga
+24(3
2cf
rfag
n Z1L 2f et 21
substituendo
unde orduiando puagendo
has valores in aequatione fier
vel divisis omnibus
per
543, vt inde habea
Eubus in cognitae purus
(60)
62)
o
26
18
28
6)
12141
30
ilte aequalid
factu
sequens
A X q
144aag.
t ids
Nunc aequationem isti similem ex
ipsis radicibus excitemus:
Nimirum ponendo Z B 1 fier X
sed antequam pergam ultri
Praevidendum est aliquid,
H- 2.  XA O
unde incommoditas orct A
X
posset, nempe confunduntur hoc modo, quo
3 et 2. in quadento et cubo, et qua–
i afag
uti coepi numeri essentiales ut est
dicito cum ut in binomiorum quadratione unt cabatione paret, um acciden
talibus, qui literis aequivalent unde fit,ut numeri literis. quibus adscript.
ritalem.
sunt non consentiar, quod si  s eronentu, impedit tamen probe cla