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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 113, page id 175906937X:0137
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=137
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000137.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 recognised, mean confidence 0.75
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

2+
2
23-
x - p ∞0
e + MMB
eX - B3
23 - 111 1
IDuo al
SOIlCM
JaM Cl
erminoei
rocale e
10dC A
actoa
Pollec
ehac nole
lciimus1
A C W A F L O N U M.
C A P U F ZV.
Methodus transmutandi squationes Cubicas compositas.
in quibus secundus terminus deest, in squationes
Cubicas simplices, quando id fieri potest.
D RopOnatur HXC aquatiO X3 X -  3 mM X =n3 ∞ ∞. SupPO
namuS Z Z = Z X =mm ∞0, hoc est, x ( EZ - mn
de, cranstormata aequatione, habebitur
Z = 3M M Z + 3 M+ Z2- M ZMMZ Z =3 M +
2
2
.EIn-
=n3 00.
hoc est, mulciplicatis omnibus per Z3, invenietur haec axquatio
Z n3Z 3 = M∞ O, vel Z∞ n3Z3- m, cujus radix ett
2 ∞ = n. L V=no-Lm. Oux est aequatio cubica simplex.
Cornita aurem ejus radice 2, erit ex lupra politis radix altera
X ∞
2Z =MM
2
quam m.
=.Ouxe semper est possibilis, cum Z Major (IE
Aliter. SuIpPONatUE Z Z  Z X = m m ∞ O, eritque
e ∞
.Ende Transformata aequatione habebimus
2 5 f-13Z 3M ∞ 0, hoc Cst, ZE ∞ --n3 23 - m CUjuS Fa
dix cst 23 ∞ = = n3- V = no L m Oux rurlus xquatio est
cubica limplex. Cujus ope, cum cognolcitur Z, habebitur
MI- ZZ
∞ ∞
quae semper erit postibilis.
Proponatur item haec xequatio v3 + = M M N = n3 ∞0, Tup.
DONALUFGUE ZZ =-ZX - L. mm ∞ 0, hoc est, X ∞
Z Z + MM
Unde
ranSFOrmata xquatione habebimus 2 L 3mm Z + = Z m+ ZZ L m
MMZZ
m
=n3 ∞ 0, hoc est, 25 - 13 23  1o ∞ 0,
SCu Zo ∞n2 Z3 = mo cujus radix est 23 ∞ = n3 8 V =n = mo
Einde