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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 92, page id 175906937X:0116
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# Lines: 37 recognised, mean confidence 0.86
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32
DE N A Y u R A
Suppolicis autem be majore quam d d, ee b d d majore quâm f3,
habebic ipla eandem Formam atque secunda propolitarum xt-
IX3. LMMX~ -L n3 X L p+ ∞O, ac per consequens ejuldem erune
natura _ constitutionis. Fiat ergo adae quatio, et per comparatio-
nem secundorum terminorum habebiimus l∞ C-( b, hoc est,
c∞ l = b. Deinde, conterendo certios terminos, habebimus
mm∞bc -dd, hoc est, substituendo ralorem cinventum, Ret
dd ∞bI - bb = mm. Tum ex collatione quartorum termino-
rum habebimusn3 ∞ bdd - f3, hoc est, restituendo ralorem di
inventum, fiet f3 ∞ bbl -- b3 - - bm m -- n3. TInde patet, cognitâ
reraradiceb, hanC aquatIONeI ∞3 = IN N. L M M N- F n ∞ O Erd
bus reliquis inferrire.
+ b + bb ut b
-bb + bmm
 b
Denique, collacis ultimis terminis, habebimus p+ ∞bf3. Un :
de sequitur, f aequari ; 8, cognit a ver a radiceb, hanc ae qua
tionem X3 =l ~X x = mmx =  ∞0 ad cresreliquas investisan.
F b + b
das posse adhiberi.
Lroposdi
Protertia prOPOsitiOne AaF ex quabUSX3 =CNN - d dX - β3∞0,
de x - - b ∞ O haeC aequatio X t - C ∞ 3 = d d X X - f3 X. 1 bf3 ∞0.
-b + b6 + bdd
Suppolitis autem dd majore quam bc, ef3 majore quam bdd,
habebicipla eandem Formam acque tertia propolitio x+ - -- l ∞3 -
MM X X -n3 X- L p+ ∞ O, dC PEr CON SEGLENS EjULdEIL CTUINENaTUTA
ec consticutionis. Fiat erso adaequatio, ee per comparationem
secundorum terminorum habebimus c∞l - b. Deinde, conse-
rendo certios terminos, habebimus bc- d d ∞ = mm, hoc est,
Substicuto ralore c invento, erit dd ∞0 b l- L m m - bb. TuI ex
comparatione quartorum terminorum habebimus b dd -- f3 ∞
n3, hoc es, restituendo ralorem dd inrentum, Het f3 ∞ n3 +
bbI. LbMM = b3. IInde constat, coonita rera radice b, hanc
aqua.