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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 466, page id 175905688X:0488
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+66 LOF ANNEO TIUDDENTE CPFST. I.
Aruere reperiantur, erit Propolica aequatio dirisibilis
per X  hoc Ficto valore vo; li aurem hi cermini (e
mucuo non destruant, quaerantur dirisores aggregati
horum omnium terminorum (quod quidem asgrega
tum, ut ab ulcimo termino aequationis distinguatur, in
posterum rocabo Terminum Fictum); at que ab unoquo-
que dirilore unius dimentionis auteratur valor Fictus
iplus X, 2C ab unoquoque dirilore duarum dimenlio-
num auteratur ejusdem raloris quadeatum, e lic dein-
ceps. Duo peracto, videndum crienum aliqua horun
reliquorum consentiant cum diriloribus ulcimi Per-
mini aequationis Propolica; si enim nulla eorum cum
iis consentiane, indicio est aequationem Propolitam per
aliam duos tantum Terminos habencem, (eW Per X, aUE
XX, _C. Vel = quantitaEe quavis COGNIEA AEGUC Fa
tionali non esse dirisibilem: Si vero aliqua consen-
tiane, Oportet, Cacto unoquoque consentiente X
carundem dimentionum, 00, explorare per quam ha-
rum aequationum aequario Propolica dividi postit; si
enim per nullam iplarum dirilibilis sic, erit quoque
PFOPOLITa PEF X, aUE X X, _C. + vel - quavis quanti.
tate cognita acque rationali indirisibilis. Dux guidem
omnia lequenci exemplo clariora cradent.
Cic ad inreltisandos dirilores, si qui sint, hujus aequationis
X3 2FaX X  b b X   20 a b b ∞ O, supPOHO ∞3 ∞2I a X b
L 20aa
velbbx ∞ 20 abb, vel ad libicum quemlibet prox valorem assu-
mo, urputa a velb: Ced aumamuS ∞3 ∞ 2T a X X, (IVC X ∞ ZT4.
Deinde subrosando 22 a ubique in locum x in aequatione Propo-
TICa X 3 = 2Fa X x = b b x F. 20 a b b ∞0 (rejiciendo breri-
-20ad
eatis causa rerminos, ex quibus aquario Ficta est ConAata, CUIM
ip(I, dum nitilo sune aequales posti, necessario erane (CANE) obti-
neo pro terminorum omnium aggresato  2T a b b L 21,