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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 78, page id 175906937X:0102
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F NV et Z U R a
2 Proposstio.
Pro lecunda Fat ex muleiplicatione _3 L b X X F 6Cx f d3 ∞0
per X b ∞ 0 haec aquatio x + X -  CCX N L d3 X d3 b ∞ O.
bb = ccb
Suppolitorero cc majore quam bb, etccb majore quam d’,ta-
bebicilla eandem Formam cum secunda propolitarum x+ X. L mm
X X = B3 X = - p+ ∞ O, aC per COn(EGUENS CrUNE CjuILdCI natUEX de
consticutionis. Fiat igitur adaequatio, ec ex comparatione tertio
rum terminorum habebimusmm Docc- bb, hoc Cst, c0∞ mm L bb.
Deinde, collatis quartis cerminis, crit = cb3 L d3 ∞0- n3, hoc elt.
reltituendo ralorem cc inventum, habebitur d3 ∞ b m m L
b3 = n3. Unde discimus, coonita vera radice b, aequationem
X3 L bXX. Lmmx L ommoo, tribus reliquis inrestigandis interrire.
+ bb +b3
Praeterea, comparando ultimos terminos, habebimus pt ∞ d3 b.
unde sequitur, d’aequari; ee cognita rera radiceb, aequatio
nem hanc ∞3 F b x X L mM N F  ∞0 ad eres reliquasindas an.
das posse ucurpari.
L b
3 Propositio.
PrO terCa, Hat ex duabus his X 3 L b x X L CCN L d 3 ∞0 e
x = b ∞ 0 aequatio xt X - f 56X N F 43 x -- d3 b ∞00. FF, luppO(I.
bb =ccb
tobb majore quam cc, e cob majore quam d, habebit ipsa candem
Formam acque terria propolitio x+ F-MM XX- 13 X. p+ ∞O, aC per
consequens ejusdem erunt naturae ex constitutionis. Unde facta
adaequatione, ex collatione cerriorum terminorum habebimus
Mm ∞- bb- + cc, hoc eAt, c0∞ bb mm. Deinde, collatis quartis
terminis, habebimus -n ∞ -ccb F d3, hoc est, substituendo
ralorem ce invencum, crit d3 ∞ b3 - L b m m -- n3. unde patet, (1
Cognita sic radix rerab, hanc aequationem x3. L bx x. L bb x F b3 ∞0
M + bm