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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1
# Folio 140v, page id 00068201:0280
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 141r); this page is its left half.
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sumta jam aequatione
16 -6ma rona V
-n
n6
-2m n
sive a X3. =omna X +omnax u lepjo ponendo aV  y
6
=2m
Vata sit alia aequatio: Cd  = 94 + 2 (279- a t
quae est intractabilis per regulas Cardani, quia triens a 9q
mole cognita termini penultimi est 39, cujus cubus est 2796, qui
utique major est quam 279- a  quadratum a qu 27 4- at dimidio
termini ultimi. jam faciamus a XF-29 Y3
fiet a aequatioe
X 3, 1913, X +3, 49, X  8, 4,3 t
94. l. + 993913
2
+ 2274- a +
a X 4. 4913 X. - f 274 - 469as
+2279- a 
quam aequationem comparando cum priore
2
a X 4- 6mna X
+ omna X, - m
=
6
= 2M 21 3
fiit ex collatis terminis secundis: mnri aq t3, sive mn  3aq
Excollatis autem terminis tertis: 9nin f 274a, id est min  34 a, ut ante
consentiunt ergo hae duae collationes; et rostat tertia, ex
colatis terminis ultimis. Jam n aq V3. et n p 27 a96
et
n
2m n 2 a9, 3 (3 ( 6 a9 13
et aequatio collatitia ultima ita stabit.
M + 27 a4
et
M
mo
6aq 13)  6 a92 sy - 24 5279 - a7
2
M +  + 2a 279 = a m + 279 , + 279 - 279
quae aequatio absurda est:
at - a
99
+2 179 - a f)