# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0135
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0135?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 111, page id 175906937X:0135
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=135
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000135.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 71 lines, status machine
# Lines: 71 recognised, mean confidence 0.78
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

e ad collendu
ibere aequai
lacione prop
ad gu
DE, relmine
Cranstorm
Er austorita
eric, tram
Se1.
a dTe
H d
ne t d
quamicalent
1oque aliqua
et, liradin
licey denon
DInataTUI:
ninacarume
IntMII
IHI.
15 PeF IBCBB
DnISPTOpOlI
alrimus det
CmIutatiSde
A O u A F L O N U H.
ITY
Scd pro aequationibus quaruor dimentionum commodius et,
supponere quadrarum ulcimi termini dirisum per incognicam
quanciratem R esse xquale radici incognitae, atque ita transtor-
IN2IC aGuatIONCM.
1
Exemplum CubicarUM. PFOPONAEUE X3Z- L m MX = n3 ∞ 0. FAO
nE
P2 ∞ X, e, transtormatâ aequatione, habebitur
s
mm n3
R2
13 ∞0. Flinc mulciplicatis omnibus per R, Het n L M Mn
R+ = n3 R ∞0, dd eoque divilis per n3, Het no- L M M R+ -- R ∞0,
hoc est per transpositionem, habebitur R - m m R+ = = no ∞0.
requatio cubica, carens penultimo termino, de in qua cum datur
3
R. ex Luppolitione habetur x ∞ P.
213
Aliud EXempluM. PFOPONatUE X3 X = M M X = 13 ∞ O. FAO
n3 mmus
R: ∞ N, GICTQuC p6
R2 13 ∞O, hoc elt, R 5- L m M R 4 X
n∞0. aequatio cubica, in qua penulcimus cerminus def-
ciE, _ in qua cum datur R2, ex supra polica supposirione habe-
EUF X.
Tertium ExempluM. PEOPOnaTUF ~3 X = M M N 1 n ∞ O. F. AO
nd M m n3
e ∞x, erieque, transformat a aequatione, po
R
hoc est, R- MM R+ X. f no ∞ 0. aequatio cubica, carens penul-
timotermino, ee in qua cum datur R. ex suppolitione id habetur
quod requiritur.
Exemplum Ouadrato- quadratarum. PFOPONaEUY X+ X = M M X X
Ln3 X = p ∞ 0. FAO = DX, _, traNSFOrMALa aequatione, PICF
B mmpr, vpP -p ∞ 0. Htoc est, mulciplicaris omnibus
R4
R2
per R+, habebimus pe =mm p+ R2 - - n3 P P R3 -- p+ RY ∞00, dC
proinde dirilis perpu, habebitur R- R3- L MM R= F -- p+ ∞O.
aequatio quatuor dimensionum, carens penultimo termino.
Exemplum secundum. PFOPOMAEUY X + X - f - M H X N. -- n3 X -L p+ ∞O.
Supponendo D transformetur aequatio, Aetque + - - - R3 +
Mm R  Y -L p ∞ 0. aequatio in qua penultimus terminus de-
ficit.
ENCM-