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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 76, page id 175905688X:0098
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.84
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# After the first blank line: the recognised lines in reading order, one per line.

o pacto
EF F O NI F Z R E A
Deinde Pihujus loco actuc alia regniratur, in qua
quantitaces omnes cognita Tolis inccoris numeris ex-
primancur; lupponendo Z∞ 3Y, es multiplicando 3 Per
26
33 5Pet 9, d9 per 27, Hec Lquatio
-9
RZ F 26Z - 24 ∞0. Vbi, cum radices
CnE 2, 3, _4, leguitur alcerius radices eAC Z, 1, dCZ; _
prioris AE quarionis 3V 3, 5V 3, 5 V 3.
Dux opcratio servire quoque potest ad taciendam
quancicarem cognitam alicujus termini in AE quatione
cujustermi- aqualem alicui alteri dacxe. Ve sihabeatur
i AL qua- X. 3 X = b b. ∞ - F c3 ∞ 0, _ iplins loco alia (Ic invenien-
rionis aqua
lis sat cur-
da Equatio, in qua quontitas cognita certii termini,
cunque al- nimirum ea, qua hic est bb, (IC3 a a non autem bb: (up-
x ponendum est y ∞ x Y 3
teri date.
93 X 3 a a y - 323 C3 N 3∞0.
Duod radi. Cxterum radices tam rera quam Fal(x non CCMPCE
cos, tam ve.
da quam
lunc reales, sed aliquando cantum imaginarix: hoc cA,
false, posin semper quidem in qualibet Equatione corradices quoc
dixi, imasinari licer; verum nulla incerdum cst quan-
citas, sua illis, quas imaginaer, respondet. Guemi
admodum, camech tres imaginari postimus in hac,
X3 - 6X X f 23∞ 10∞O; tamenunacantum CA FCa
lis, nempe 2; _ quod ad reliquas duas actinet, quamris
illa augeantur, diminuantur, aut mulciplicentur, siCut.
jam expolui; camen non nili imaginarix heri polsune.
Tam vero, postquam ad inveniendam constructio-
nem alicujus Problematis pervenimus ad Equationem;
carum, cum IA Qua incognita quanticas eres haber dimentiones:
eroblema Primum si quentitates cognitae, qua in ca reperiunEuE,
Mmeros Fractos continene, ipsi ad inccoros, beneheio
mulciplicationis; odo explicata, reducendi (UNE; AC
Si surdos contiment, cum quantum hieri porest, Cimiliter
quantitas
cognica ali-
esse reales.
vel imagi-
maricio
Reductio
quario-
num Cubi-
est. Flanum
1
1
1
d
ip
Cit