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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 510, page id 175905688X:0532
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TTO IOT ANHES TIUDDEHLLEBTSF. II.
ductum erit aequatio, qua communem cum praece
denti radicem habebiE.
Tta uE ad hujus Mechodi demonstrationem tancummodo pro-
bandum restet, aequationem illam primam duas aqualesradices
comprehendere. Ouod equidem demonstratu adeo facile est, ux
huic rei ulterius insiltere nihil aliud sic, quam operam et oleum
perdere.
Et haec quidem generalis mea Methodus est. Parriculares ve.
10, quas antehac in aliquibus exemplis ridisti, hinc resuIEANE.
quemadmodum ex subjunctis opcrationibus, utroque modota-
ctis, perspicere licebit.
T. Cum alcebraici termini, maximum aut minimum de
sienantes, non nisi unam incognitam quantitatem continent.
es nullas habent fractiones, in quarum denominatore incoeni-
ta quantitas reperitur, mulciplico tantum unumquem que cer-
minum per nuinerum dimentionum incoonitae quantitatis, ne-
electis quanciratibus omnibus, in quibus incognita non reperi-
tur, X suppono Productum ∞0.
abba
FX. GF. CIE 3 a X3 =b ∞3 -
mult. Per 3
x + aab x alicuimaximo.
+bba
suxea generalem Mechodum erit
266a
200.
3a ∞ 3 = bx3 X -2bb4 X + a a b2∞0.
mulc. Pet Arichim. PFOSF. 3.
3. 2.
_HE, UE AnEC, 9a X3 = 3b ∞3 X = 2bb a X ∞ 0, Seu
9 aXX = 3b X X -
2bba
30
D O.
2. Si Alcebraici termini, maximum aut minimum desie-
nantes, unam tantum incoenitam quantitatem comprehen-
dunt, atque aliquot fractiones admittunt, in quarum denomi-
natore incoenita quantitas reperitur, operatio institur poterII,
hoc pacto:
Primo deleo omnes quantitates cognitas. Deinde si relique
Quan.