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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 23, page id 175906937X:0047
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# Lines: 52 recognised, mean confidence 0.83
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Pet A4 
enduseii
Dex 2411
MA -
nd - 
10. OVI.
reduc
Dreste
invenialu
NIA ZAESE OS IIHEVERSALIS.
UC, ad inveniendum minimam quantitarem, quae diridi porest
per duas dacas aac e cd: consticutis aac de cd in Formam tractionis
hoc pacto: aac
c
ireduco tractionem hanc ad ejus primitiram, Peu
simpliciorem =. Ouibus juxra le posicis, hoc modo; aac a aa
Ca
E mulciplicario instituatur per crucem, procreabitur cadem
quantitas ex aac in d, at que ex cd in a a: fiet enim uerobique
aac d, minima quippe quancitas, quae line reliquo diridi porest
Pet aac _ cd.
Sic ee ad inveniendam minimam quantitatem, quxe dividi po-
teltper duas datas a ac - a a N _cd - dd; reduco (UE ante) Fra-
ctionem 22c - aa d
ca -ad 2d ejus primitiram: Tum mulciplicato
aac = a a d per d, auECd = d d per a a, FICE QUanEIEAS quae (IEa a a C d
a a d d. minima scilicet, quae dirisibilis est per a ac -- a a d ec
cd - dd.
Similicer Sideneur at = b+ ec a a f ab: quoniam 2+ -b+
aa + ab redu-
Citur 2d 23 = aab. + abb - b3
de a =b mulciplicatum per ata-
CicaS =abt; eritaS- ab quancitas quaelita.
Fadem ratione si dacae FUCTINE K3 =- 25 N XC X X - F. TOX - 25-
exir quae lIta quanLItaS X = -  5 X 3 = 25 X X = 125 X. FC SIC de
CaeterIS.
Duodhrero compertum lit aur constee, duas illas datas quan
titates ad simpliciores reduci non polle, led primitiras esse; OpOr-
cecunam per alteram mulciplicare, ad inreniendam quantitatem
guaelicam. Or ad inveniendam minimam quantitatem, quae di-
vidi porest per aa - ab ee a. +- b: quoniam 2a = ab
a+b 2d simplicio-
resterminos reducinequie, mulciplico a a -ab per a- ( b, (cum
secundim pracedencia Scribendum Forec 2a - ab aa = ab
ee HE qua lita quantitas a3 - a b b.
 + b
a- F b
Caecerum datis rribus aue pluribus quantitatibus, inrenietur
minima quantitas qua per iplas ab (que reliquo dividi potest, hoc
modo: EIt ad inveniendam minimam quancitatem, quae dividi
Porest per a3  abb, aa + 2 ab - f bb, _ a a - bb: quaeropri-
am, uc ance, minimam quantitatem, quae diridi pocest per