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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 464, page id 175905688X:0486
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=486
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.85
# 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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464
TOM A NN ES TIUDDEHEE EBTST. I.
ancecedentis Fictx aequationis poltunt denuo per cas
dem Regulas, opc horum dirilorum ultimi Permini,
inreniri aquationes omnes, qua huic proxime antece
dentem Fictam dividere qucune, lcque ulcerius alcen-
dendo obtinebuntur tandem dirilores omnes, quicun-
que tuerine, ultimi Termini Propoluta aquationis, qui
inveniendi proponcbentur.
Exemplieraciâ, si proponantur inreniendi dirilores omnesul.
cimi Termini hujus aequarionis
∞+ I4 a a X X  32 a aC X ) a+
L 4 46
 2 66
+ 4 d
30.
 4 aC  TOaaCC
T6a d c  2. aCC d
 4a a et d
 4 aC3
 4 a36
I dc a a
+ 24acd d
 4cCdd
 4Cd3
L dc3
nima ope Regtucun euentium, aequationes omnes ratio.
nales, per quas aliqua Propolita diridi porest, decerentium be
neticio dirilorum ulcimi Termini: suppono ejus ultimum Per-
minum ∞0, aeque unam ex iplius liceris considero cen incoeni-
CaIM GUAnEIEaEeM, uE puta a, obtineoque aequationem in ordi-
nem redactam,
A+  46 a 2OCC a a 2CC d a -- +Cc d cb ∞ 0.
 4d d  463 +Cd3
L dc + 24cdd  c+
 dc3
Duomat aucem Lsus ultimus terminus etiam plura membra
habet, suxpono iplum rursus, ut ante, ∞0, lumendoquec pro
incognita quancitate, obtineo inde hianc aequationem
 63-f 4. d d6c,  4d 36 ∞ 0.
Dux dirisa per c dac c3 - f dcc - 4 d d c f 4 d3 ∞O, GuXe CAI
aequatio in qua uIEiMUS TerminuS 4 d 3 cantum unum Membrum
habec.