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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 70, page id 175905688X:0092
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=92
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.83
# 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.

CF F O M E Y R I A
onica, minus valore alicujus ex veris radicibus, quae
nque illa candem (C, aut plus valore alicujus ex Fal-
exositur a- L. Cujus diritionis opc dimentiones ejus in tancum di-
be.
C
Dua ratio-
ne indagari
MINUUMEuT.
Ec vicissim si LEquarionis summa diridi non possit
per binomium, constans ex quantitate incognita- L vel
certa alia quadam quantitate; indicio est, quantica-
queat, nm tem hanc non esse ralorem alicujus ex ejus radicibus.
uemadmodum laecultimax t - - + x3 = E9X X + 1O6X
= 120∞0, diridi quidem potest pCF X - 2, PCF X - 3.
Per X = 4, _ per x +. 5; sed nullo modo per X - vel
quacunque alia quantitate. Id quod ostendie, iplam
nonposse admictere alias radices praeter halce guatuor
2333 4, 25.
Ex quibus etiam cognoscitur, quotvera et quoctala
ripossine radices in unaquaque Equatione haberi postint. Ni-
veraradi- mirum, tor in ca veras haberipolle, quot variationes re-
periuntur signorum L ec-; e tottalsas, quot vicibus
quatione. ibidem deprehenduntur duo signa L, vel duo ligna-
quae sc invicem sequuntur. Ve in ulcima, quia post L x+
habetur - 4 x3, jux estuna variatio signi L in --, et
POs- 4 x3 habetur = 19xX, qua lunt duo ligna limi-
lia; d post -- 19 x x habetur   106X; e POA. L 1O6X
habetur = +20, qua lunt adhuc dux alia variationes:
coonoscitur quod illa eres admittat veras radices, dt
unam Fallam, propter duo ligna - cerminorum 4 x3 et
19x x, qua le invicem sequuntur.
Porro facile est efficere, ut in una eadem que sE qua-
Cncradices omnes, quae talla crane, cradtant verx; et
pt Cadem opera omnes illx, qua vera erane, Falla hant.
quationis e. Lrum utando ligna omnia  ec -, GuX in 2d0
vadant ve- 4o aliire lOCiS LCPCFIUMEUE, QuI PEF HLIMCFOS PaTeS
eteancur; reliquis imi, etiis sti similiumque loco-
TUK
Cnjus AF.
goationis.
quando co-
liquae ex e.
jeds radici
datao quno
lisas sit va-
lor alicujus
radicis.
Duot habe-
ces in qua
libet ZE.-
sac
omon
endum.
sit, ut falsae
radices A.
ra, ( ver B
falsa.
e
n
set
qu
dIS
pe
l