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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 419, page id 175905688X:0441
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=441
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# Lines: 43 recognised, mean confidence 0.88
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cenei
t. at
ax + 
1e
et 
DE REDUCTIORE AOUATTONUM. 419
dipoltune, ue illa lirera eranelcat, 00. Atque hoc in
Sinculis literis tacio, verum non uno duntaxat modo, (CuE
in praecedenti zcia Reoula, sed modis omnibus, quibus id
feri potest. FCS Propolita AE quatio ex duabus ejusmodi
dictis aequationibus producipocerie, eric eriam divis
bilis per aliquam harum Fictarum Equacionum, in
quibus dictxe literae lunt lublaca.
Ouoniam autem haec Regula ommino eadem Facienda pexscri-
bit, qua praecedens zris; hoctantum excepto, quod illic in sin-
gulis dirersis liceris duncaxat uno modo, uri dictum est, hie modis
omnibus sic centandum; sufticit uno exemplorem declarare.
Proponatur icaque haec aquacio
∞t = a ∞3   a a X X -  a a b X = = a a b b ∞ O.
2b +T=ab = abb  = ab3
b
Exordiens à literaa, prout unam habet dimensionem, obrineo
aX 3- + = a b X X = = a b b X - = a b3 ∞0, (CU =- x3 + = b X X
=bbx = =b3 ∞0. Cujus ope Propolica aquatio diridi ne-
quic (quodsiplum in hoc exemplo vel hine apparet, quod hic ul-
cimus terminus =b3 ultimum terminum Propolitae aquationis
non ab (que licerali tractione diridar). Jam, non quidem ad aliam
liceram cranseo, quemadmodum in pracedenti Regula, sed tam-
diu considerabo eandem a, quamdiu adhue alia quancitates in
aequatione extane, in quibus illa plurium aut pauciorum dimensio-
num reperitur. Atque ideo cum ipsa a hic adhuc 2 dimenlionu
reperiatur, suppono limiliter quantitares omnes, in quibus 2 di-
mentiones hrabet, D o: nimirum, = a A X X = a ab X - F a ab b ∞ O,
TCuxx = = bx = : bb ∞0, quae Propolicam aequationem divide-
re porest. Ouod si secus crenisset, ad aliam liceram transrissem,
quandoquidem omnes quantitates, in quibus a continetur, (0-
lummodo diridi pollunt pera, velaa. Quocirca facto periculo
in Cingulisliteris, e omnibusmodis, si comperiatur, divitionem
aequationis Propolitae per nullam Fictarum succedere, certum
elt, neque Propolitam aequationem, ex duabus ejusmodi aliis,
guales supra decerminari, produciposse.
852
Y. RF.