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# Title: [De la Methode de l'Universalite] De la Méthode de l'Universalité (shelfmark LH IV, V, 10)
# Folio [49]r, page id 00066634:0097
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e
opositio dd.
cucenda in+ f-
Ajo (genezaliter) esse 0 aequ. + 6 c
Demonstratio:
Ponatur d’aequ: t e + X. posito b aequ. x. et c exrstente excessu
ipsrus d supra x seu suprab. ergoid- b idem erit quod
+ C f x = b,
b n f - c
Ergo+ - b in f= c idem erit quod te + X
jam +e intf - c est +ef - ce. et +X - b
in + f - c si posito scit. hic X aequ. b) est aequf
X = C X
=bf + 6c. perprop. a. Ergo duo producta in unum colligendo
Ergo coltigendo + e +  - b in +f - C. Seutd - b in + L - C erit
L
+ef - ce, +fX - c. x = b f + b c. F supratd - biRG
nfc erat aequ. + d f - Cd - bf. C. Ergo hos duos valores
aequando et tollendo utrobique, - b f. fiet:
ef - ce + f X - c X + bc aequ. if - cd. B.
quia d aequ. C+ X
Est autem tef+ f. X aequ+df et - ce - c L aequ. =c di qua 00vg
ae
priori
ergotef - ce + fx - cX aequ. el f - cd. ergost in aequatione prio
tef - cc +, fx -C X + bc aequ. + el f- cd. e. follantur
utrinque aequalia restabit  aequ. +
Quod erat demonstrandum.
b c
Zenatdinus aliique qui calcum egulas demonstrare voluere, usi sunt propositionit cuclidis quod lib. 2.
Scholion.
fricprobundum quod  n  facit +. Unde Mariotus in specimine Lo, negat eas popu
nagulam quod
demonstrie
sitiones per caculum probari posse, fieri enim circulum. Sed quoniam hinc sequeretur vulgarissimas Arithmeticae
operationes (ex quibus est ista operatio per + et -) pendere a propositionibus geometricis et linearum huctet, qua
minimi rationi consentareum est. hinc modum quaesivi demonstrandi hanc pem
in = facit + per purum calculum, quem vel in numeris vel in lineis interpretari licet idque mihi (ava
videtr ene finius figorit decubis rationem desiesabat. Nam
onem apud Agebrista; ut Bombellum 
livi
eture
dt
Putetar
sins quolque optas