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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 438, page id 175905688X:0460
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=460
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.76
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

438 IOH A N N LB HIUDDENET BPTST. I.
ipliussinclusione obtineri non portic; quemadmodum hic valor
iplius sab (que inclusione iplius r ex producta aequatione inveri.
rinequit; pocesttamen semper, quoccunque etiam dimensiones
gualibet incognica quantitas habeat, tandem inveniri aequario
operando haud secus ac si illarum communis dirilor, ue supra
oltenlum tuie, quareretur), in qua duntaxat una incognita quan.
ticas includitur, cujus radices deinceps sunt invenienda.
Exempli gratia, si habeatur haec aequatio
py-
94 +- 672
222
9 ∞ 4
C ∞O,
 aa73
in qua y ez sintincogniex, e y ad 2 aequales radices determi.
nari debeat: operationem instituo, uc lequitur.
9tX - 62Z7y =T2Z3 7 + 92+ ∞O
MuIE. PeF O, 2,
 9 aa Z. F.
HE 12Z 27y = 36Z37, + 36Z 1O
dir. PeF I2 ZZ.
36aaZ Z
y)  3Zy  32Z ∞O
 3 aa
7 ∞ - 32 y 3ZZ.
Similiter mulciplicetur PrOpO(ICa
3 aa
g+ X 6ZZyy 22 23y 9Z 4
per 4, 3
∞
9a aZ Z
Hc 4γ+ X = 12ZZ Y Y = T2Z3y X ∞0
dV. Del 47. 93X  3 XZ y  3 Z3 D O.
Substicuendo jam ralorem ipsius ry, Lupra inventum, in ejus
locum, habebitur
93 ∞ 327y = 3227 Ce1 - 9Z Zy= 923
a a7
3ZZy  9 AA Z
nn 3 a d y
32Z)  3 Z
LeIna f9Z Zy - 1223 30
3a a y9 adF
423 = 3a AZ
3~Z  A B 0
010.
ZZ) =3Z3X