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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
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Aarum
ices
IM IT I BCS
A Y
C A B U F I
De Aquationum Duadratarum seu duarum
dimensionum limitibus.
Prop. T. X X - l X + M M ∞ O.
Er transpositionem erie m m D lX = X N, _ lI
prima pars tuerit realis, erit etiam altera pars
ealis, ideoque lx majus quam x x; ee dirilo
Toque termino per x, erit l’ major quam X.
un ae pertranspolitionem propolitae aequa-
tionishabebitur xx ∞ lx - mm: ideoque al-
cera pars eA realis, de la majus quam MM.
mm
Unde dirilo utroque termino per l, erit x major quain =. Oua-
mm
re aquationis propolitae urraque radix x major erit quam, sed
Winor quam l.
Prop. 2. X X -- l X = W M ∞ O.
Per tranlpolicionem habebimus x x ∞ IX L mm, id eogue X X
majus erit quam mm, d x major quam m, ac proinde m x majus
quam mm. Iindexx minus eric quam la- L mX, ad eoque (IUEra-
que pars diridatur perx, eriex minor quam l. L m. Rarlus, quo-
nIaM x x aequatur lx L mm, erit xx majus quam lx; ac proinde
si uterque terminus dividatur per x, etit x major quam l, E l’i
majuS quam II. Hlinc cum  N aquetur lX- L MM, CrIE X X MIajUS
qua II. Fmm, hoc est, x major quam V II- L m M. POCFCIIO,
quandoquidem x major est quam m, erit lx majus quam lm. &
X x majuS quam Im. Lmm, hoc est, x major quam V LM. L M H.
Unde radix aequationis propolitae erie major quam maximaha-
cum duarum V II. + mm ec VIm. 1 mm, sed minor quain l. L. M.
PiOP.
F