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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 82, page id 175906937X:0106
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D. E H. A
P. u X
2 Propositio.
Ad investigandam naturam _ consticutionem primae propoli-
tionis, Formemus ex duabus x3 = c X X f d d X F b d d ∞ 0 8c
X = b ∞ O aquationeM hanC Xt = C X 3 F d d X ∞ X - b b d d ∞ 0;
 bc
habebicque ipsa eandem Formam atque prima propolicio ut -
l∞3 LMM X X X - p= ∞ 3, ee per conlequens dua illa _ quationes
ejuldem erunt nacurxe es constirutionis. Fiat jamm ada quatio, de
ex comparatione secundorum terminorum habebinus l∞c-- b,
seuc ∞ l. L b. Deinde, comparando certios terminos, crit mmn
de-bc, hoc est, reltituendo ralorem cinventum, habebitur d d ∞
mm - bl - bb. unde constat, si coonoscitur reraradix b, hanc
aequatiOneL X3 = l XX + m m x. F b m M ∞ O ad reliquas eres in-
restigandas inservire.
Bt
b
2 Propositio.
Pro secunda propolitione Formemus ex duabus X3 L CN N L
d dx - b dd ∞0 X x = b ∞ OhanC XquatIONEIM x = - L  C∞3- L d d X X
=b0
X = d d bb ∞ 0. Supposita rero c majore quam b, e bc majore
quam dd, hadebitilla eandem formam acque secunda propolita-
rUII Xt = L~3 =MM X x + =p+ ∞ 0, X per consequens ejuldem
erune nacura e consticutionis. Fiat ergo adaequatio, e ex colla-
tione secundorum terminorum habebimus l∞c-b, hoc eA,
C∞l. = b. Deinde, comparatis tertiis CeriMIS, Crit =m M D d d
bc. hoc est, resticuendo ralorem cinventum, habebieur d d∞
bI. F bb =mm. CEnde dilcius, cognit a vera radice b, hanc ae qua-
tionem x3 L lX X L bIX F bbb ∞ 0 ad reliquaSeres quaerendas
F b + bb + b3
posse adtriberi.
M =- bm
Denique, comparando ultimos terminos, habebimus pr ∞
Eb dd. unde sequitur, d et ae quari 7; 8, cum cognolcitur rera
radix