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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 134, page id 175905688X:0156
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131
cy
B
d2
ELOR ZMONDL DE BEALHE
=b3∞0, aequalis pracedenti. Vndemulciplicando
cotum per h3, producetur y3 = chy y. ( d d bby - b3 b3∞0.
tiridens autem est, idem productum inrenii, li in requatione
propolicaponamus r, a quadratum ejus ry, cubum que y3, 10-
COX, X 2 x3: atque deinde lecundum terminum imulciplicemus
per h, tertium per h2 d quartum per h3. Omnino ut haec Geo-
metria docet. Vbi postquam substituimus ,  _ locox,
X 2 Xx3, ad mulciplicandum eorum per B3, Sufticie auterre deno-
minatorem, qui ab hdenominatur, acque tantum reliquum le-
cunditermini multiplicare perh, reliquum certii per Bh, e reli-
quum quartiper h3: quandoquidem a terminis, secundo ee ter-
eio, auterendo denominatores hh _ b, ipsi cacenus lunt mulcipli-
caci. Adeo ue sufficiae musciplicare reliquum secundi termini
perh, e reliquum certii perhh, ac iplum quartum per B3, cum
hic denominatorem ab h denominatum, per quem lic auterendo
Fuisset mulciplicatus, non admittat. non alicer quam haec GCO-
metria docet. Oux demonstratio e methodus in alcioribus
quoque aequationibus locum obrmene, in quibus radix x plures
dimentiones, quam in ae quatione propolica, admietit.
Nocandum aucem est, cum termini aequationis hujus siC pro-
ductae non linguli aque multas liceras leu dimensiones habent,
lineam, quam prounicate ad libitum sumplimus, de cujus ratione
suppoluimus = ∞x, toties in terminis, qui pauciores dimentiones
seu liceras habene, Tubincellivendam esse, quoties fuerit opiis.
Adeo ut ejusdem linea beneficio termini abbreriari posine, sic
ut lingulinon nisieres literas seu dimensiones adnitFAnE, aC PrX-
cereaur illius opc, poltquam radix unay fuerit cognita, mediante
aequatione, ∞x, cognolcatur quoque radix alterax.
Ad haec supponere quoque postumus py ∞ x B, ita ut habea-
IUS  ∞X, e 7 = ∞ X Z, NCC nON  ∞ x3; quibus, ut CuPTa,
subrogaris, habebimus  - c =  d2y.
b3∞0. AC PrOIN-
de mulciplicandotocum per B3, Het ps cby +-  d d BB yy-
b3b3∞0. Vnde perspieuum tic, quod substituendo, juxta prae-
Ccripcum hujus GCOetrIX, Yy Pro x, quadratum ejus p + PrONE,
e iplius
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