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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 417, page id 175905688X:0439
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=439
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# Lines: 49 recognised, mean confidence 0.84
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quod di
quaciod
rculum
MPrO
 DTODUI
ab +321
DE RLEDUCTTOHE AOUATIOHUM. 41
opc Propolicam aequationem dividere licer. Oux siperhane di-
ridinon pocuisset, quia jam res lingulis liceris tentata eNet, con
Clulisem ut prius, Propolitam aequationem, eC.
dum genus exemplorum, in quibus Propositae aequationes
fractiones continent.
Incer haec de praecedentia exempla, nulla alia differentia respe-
Ctu operationis existit, quam quod Ficta xquatio, per quam di-
rilio Propolicae centatur, non necessario, licut ibi, ab omnitra-
ctione libera esse debeat. Quocircaunicum exemplum in me-
dium adduxisse suftecerit.
Proponatur aequatio x3
a f5 X N
ba
a c
 = 43 30.
+ = 4a + = aCC
no C6  abb
+ ab
F a
b
Tranleoliteram a, proprer quantitatem = = a3, quoniam a nul
quam implius 3 dimentionum reperitur. Ilinc transiens ad b, in-
venio ?b xx + a b X   = a A b = 2ccb ∞00, Peu, dividens ubique
Pet 2b, X x  : a x   a a ∞0, per quam Proxolica dividi po-
 6b
Eest. Ouod sivero haec diritio hieri non poruisset, conclusissem;
cum tancum perliceram c adhuc explorandum Foret, atque haec
ipasnon magis quam litera a, sicut ex quancitate = 2cb b ma-
nifeltum est, adrem quidquam faciat; aequationem Propolitam
ex duabus ejulmodi aliis, quales supra decerminari, producinon
Posse.
Ordorero, quem in hac inquilitione, an nimirum Propolita
aquatio per hujusmodi Fictas divisibilis sic, obserro, talis est:
Primum inguiro, an nulla alix quancitates, in quibus hraec abla-
ea litera reperitur, in Propolica aequatione exictant. Si enim plu-
resreperiantur, cum iplas omnes, quae ita per illam diridipol-
TunE, ut ea ubique eranescat, in unam summam colligo. (ut in
hoc exemplo, quancitates omnes in quibus b duas dimensiones
habet.) Ouoperacto, si quotiensnon idem sic cum praecedenti.
per quod dirisio examinatur, concludo, hanc dirisionem herinon
188
PoNC.