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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 136, page id 175905688X:0158
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13
FLOR LMONDL DE BEAUNE
SuIPPONATUT y ∞ =, Crirque y B D X, _ y = B= D X 2, RCCNON y3 B3
∞ x3. Oua Ei in aequatione propolica substituantur, het 73 13-
cB= y 2 = d by = b3∞0. Ac proinde li totum dixidatur per h.
Orietur y3 -  +  y -  ∞0.
Manifectum aurem est, idem nOS OBEeNEUTOS, Si in aequatione
propolita subrogemusr, quadratum ejus rr, a iplius cubum 13.
in locum x, quadrati x, e cubix 3, atque lic deinde secundum
terminum diridamus perh, certium per hh, ee quartum per B3:
quoniam in superiori operatione, ubihh in secundotermino, de B
in certio reperitur, perspicuum elt, quod, ad diridendum omnes
terminos per h3, auterendo tories h, quoties in ipsis reperitur,
opus cancum sic diridere reliquum sccunditermini per h, reli-
quum certii per hh, ipsum autem quartum terminum per hs, quip-
pe qui quancitarem h non comprehendic. Dimminouthaec Cieo-
MeETIa reGUITIE.
Juia vero aequationis hujus sic productae termini lingulinon
que mulcas habene liceras leu dienliones; ISICUF NE aquales
numero reddantur, oportebit in illis, qui pauciores dimenliones
habent quam requiritur, coties liceram aliquam lubincelligere,
quoties erit opus, quae lineam prounitate ad libitum sumptam
delignet, e cujus ratione suppoluimus y ∞= vel pocius benet.
ciohujus linea, quam prounitate assumplimus, de linearum co-
onitarum, efficere, ut linguli xquationis termini eres liceras seu
dimentiones habeant. Id quod facile elt. Ftenim cognica, r. 8. linca
Prounitate accepta, postumus ad eandem denocandam loco
lumere p. atque ita de caeteris. Adcd uc, cognita radice y, ejul.
de uMITaEIS OpC COBnOLCAEUIF quOquON, per aequationem hane
y∞ =. vel y B ∞X.
Nec aliter in numeris reritatem hujus Geometrixe Mechodi
Oltendemus. Proponatur enim eadem Xquatio, quX (UPTa, X3
Cx 2  d d x = b3 ∞ O, ei oporceat radicem incognitamx diri-
dere per 3. Suppolitaisitur y ∞=, hiet 3y ∞ _, et 9 yy ∞ X2, neC
nOn 27 73∞ X3. Ouae S Substicuantur in equatione propolica,
habebitur 2773 - 9cyy- F3 d d y - b ∞0. Ac proinde diridendo
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