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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [51]v, page id 00066634:0102
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in alia mulbiplicatione quacunque, ut facice
patet, nam pro
per. X - C.
d-b muti multiplicanda
utique poterimus facere d aequ
e FX si sit dupto major quam X se posite  quia
est major quam X. adeoque et major quam b posito X aequ. b)
et fiet.
e. + X - b multiplicanda per
e
et necessario fiet productum 
ex = eC + X2: b X-
 ceX
CX + b
X = c.
dbe
nim fit enim utique ex  - ec + X = b X - CX 4. O.
quod tantundem esse debet
e
quod ex - ec (quia X - b aequ. 0.
ergo Ct C + X - b in X - C idem quod e in X - C.) Ergo
X - bX = cX +
tem
D. aequ. 0. ergo ut supra  aequ. + bC
sem fier
Cx - Cc + D
dba
ets. 
mulsipficatione A utique postea
cus
2
explrcare licet  explicata
b a qua. ebaper etx
limirum ostendimus ex - ec + +2= b X _CX + bc essa  aequ. d - b in X - C
aequ d - b in X -c. ut otendimus
b in A aequatx
C et
e
an
d: b in C aequ
d - b in X aequ. ex + X CbX seb valorem ipsius d)
= dc. O
Estantem id est (quia d aego C+ X) d - b in - c aequ.
-CC - XC. O. Ergo d b in XC equ. ex-
Ergo summa collecta ex + K - bX - CC = XC. O.
superiori:
aequale Cex - eC + X . - b X = C X + b C.
utriaque iisdem fiet  aequ. + b.
Ergo ablatis
treviorem hanc
demonstrationem reddidissem si vacasset. facile etiam
patet idem fore it si adhibuissemus non X - c sed aliam
quamvis ut f.
f.
C