# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175906937X:0095
# Permalink to this reading: https://leibnizlegible.com/page/175906937X:0095?run=74
# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 71, page id 175906937X:0095
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=95
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000095.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
# Lines: 59 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.

aa +X 
bd d vo.
rabebice.
illicucionis.
UIM TEEMI
nde ex col
D = M II
0b
equacienem
ous inresti.
oltrcndeum
atot a
1 1IIX -
+ ea ddi
-b d A 2
a4, Ces
112  
1On1S. Lu
Jocum Bab
ex COllation
hocel
1t a Foru
Iit i
MII
quela
latioU
A. O U A Y L O N U H.
latione postremorum terminorum, habebitur b d d ∞ n3. Unde
sequicur, d d aequari ; e cognita veriradice b, hanc aequatio-
nem XX L b x F = ∞0 ad duas reliquas quarendas esse utilem.
4 Propositio.
Pro quarta propolicarum tat ex mulciplicatione _x L cx. F dd ∞0
per x - B∞ O CadeM a QuaFIO ∞3 - b X X -= b6X - b d d ∞ O. FF
LC + dd
suppolita c majore quam b, de dd majore quambe, erunt ejul-
demformae ic quarta propolitio x3- L lX X - L M M ∞ - 13 ∞O, e
consequenter ejuldem naturae et consticutionis. F’actâ ergo ad-
aequarione, ex collatione secundorum terminorum habebimus
6u b∞l, Peu c∞ l. F b. Deinde, ex comparatione tertIOrUI
terminorum, habebimus d d =b0 ∞mm, hoc est, restituto va-
lore ipsius c inveneo, erie d d ∞ b b L bl - L mm. Unde constat,
cognita rera radiceb, hanc aequationem xx. f bx. L bb. F bl. L mm0
+
duas reliquas radices respicere. Denique ex collatione postre-
morum cerminorum habebimus bd d ∞ n3. Unde sequitur, dd F0-
rexquale; e, cognica vera radiceb, hanc aquationem
XX + b N F, ∞ 0ad indagandas duas reliquas adhiberi posse.
5 Propositio.
L1oGullcaBioolioe aCaDcacione dd bd AadC
DeF X =b∞ O~GuaTIO ∞3= 6X X =d d x. + dab ∞0. EF suppO(ItOb6
= b0
majore quam dd, eric ejusdem Formae cum quinta proxosicarum
X3 = lX x L M  x - F n3 ∞ O, _ COnSCQUENEeF eju LdEM NaTUTX eC
consticutionis erunt. Factâ ereo adaequatione, ex comparatione
secundorum cerminorum, habebimus l∞ c. p b, vel c∞ l -- b.
Deinde, ex comparatione terriorum terminorum, habebimus
Dcdd ∞mm, hoc est, rectituco ralore ip (IuS C InVentO, CriE
 BDT =bD=MmM. Unde discimus, cognitâ radice rer a b,
X914-