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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
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Demonstratio pure Analytica
uod in multiplicatione, = in  faciat +
sit quantitas X. = b.
multiplicanda in aliam X = C
fie ajo multiplicationem fieri hoc modo:
Manifesta autem est parssu multiplicationis
X
X = b X = cX. quaeritur solum a de b
le
b 4
an admitti possit - b in -C dare + bc. quod sic ostendo
onatur X aq esse aequale ipsi b. patet fore X - b
eaderus
fortuma
aequ. nihilo. ac proinde iem autem prodibit multiplicando
X - b per x - c. Sive X sit aequale ipsi b sive non, qu
tantum dui inter quia inter un cum literis generatiteus calculumus
valores quoslibet literarum comprehendimus, semper ergo
eodem modo prodibit X- b+- cx +bc, quia
primum ponatur X aequ. b. ere aq c.
etsi
ergo
etiam erit X + C aequa b+c.. Ergo X + XC aequ. bX + CX
multiplicatis scilicet mniper omnibus per X.. Et pot XC ponendo bc
(quia X aequ. b.) fiet X + bc aequ. bX + CX
fiet. X = b X + bc aequ. 0.
C X
X = b per X - c. prollibit
X - b X + C. aequ. 0
jam si multiplicetur
+ X = C
+ X = C
= cx +
+X = b X
si v
Nam si id quod nihilo aequale est mulliplices in qu id quod etiam
C X
hoc loco X) multiplices per quidvis productum etian
nihilo aeuale erit. Hinc conferendo has duas aequationes invicem
)
necessario fit bc aequ. D. adeoque - b in - c dedit  seu, bc
quod autem processit posito x aequ. b. procedet etiam
CX
+ b0