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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 463, page id 175905688X:0485
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.83
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DE RE DUOFTOHE A OU A PIOHUM. 465
etam aequationem diridere pollune, inveniri queane,
qua quidem aequationes eunc futurx lune quaeliti divi-
lores ultimi Termini aequationis Propolta.
Per praecedentes aurem uti ex per lequentes Regulas
omnes dirilores hujus Fictae aequationis, non cognicis
ejus diriloribus ultimi Termini, uc plurimum facilli-
mo negotio inveniri POTeTUNE. ImO PerpauCX Xequd-
tiones occurrunt; quarum divilores ultimi Termini
non per sequentem 21 Regulam, ex dicto modo inve-
niri pollene. Ouoniam vero aliquando tales dantur,
guarum dirisoresnecper hanc 21 Rcg. Dec per aliquam
praecedentium obtineri queant; ulcerius ridendum cAt,
num Ficta aequationis ultimus Terminus, unum an plu-
ra membra habeat. Si enim unum tantum membrum ha-
buerit, quemadmodum in hioc exemplo, in quo ulci-
us Terminus cst - 4 a +, nocum est quo pacto ejul-
dem dirilores inrestisare licear, polluntque deinde
corum ope per sequentes Regulas inreniri aeguationes
omnesrationales, per quastraec Ficta dirilibilis crie, at-
que ita habebuntur etiam omnes dirilores ulcimi Per-
mini aequarionis Propolita, qui requirebantur.
Ouod s vero ultimus Terminus licca aequationis
plurium membrorum tuerie, tum rursus cundem, uE 2n -
ce, supponerem ∞0, ac iterum agerem, quemadino-
dum jam dictum est, donec inveniatur aequatio, vel cu-
sus rationales dirilores per aliquam praecedentium, si
ve per 21 Reoulam facillime inveniuntur; vel cujus ul-
timus Terminus cancum unius membri existic. e 2d al-
cerutrum obcinendum parum temporis requiritur; et
alcerutro invento, ualitum obtineri porest, quoniam
cunc per sequentes Regutas inreniri pollunt aequatio-
nes omnes, ultimam hanc Fictam diridentes; acque ita
inrentis omnibus diriloribus ulcimi Termini proxime
aHtC.