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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 12r, page id 00067992:0023
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Unde pter notam aqualitatis habeo et notam
similitudinis
 qua et ulus sum in exemplo
pronime praecedente. Sic sisit aa - bb =cc et
I- mm = nn tunc. dico će a; b; c ~l m; n seu
relationem nter a, b, c eandem esse respective
e
seu eodem ordine servato) cum relatione inter l, m,n.
Aabeo et notam comcidentiae  seu identitatis
exempli oraa sit adX +2 ab X + bb = CXE + m X + n
hocmihid non tantum sienificat aequalitatem inter hac
duas formulas (quemadmodum si scripsissem aax2+ Z
abk =bb = lXX + M X +n vel t aa XX. t
abX + boc
lumn
sed sionificat etiam coincidentiam adeoque aequalita,
temsinoulorum terminorum. Adeoque etit l-aa et
M 2 ab et n- bb Itaque quod vulvo vocant compa,
rationem aequationum revera est identificatio
quaeeam seu comcidentia
-
etiam + est
s
Qvemadmodu m ie nota qjuctiva (. cumulationis
ex respondet 2id et ut a +b id est a et b simul;
ita datur quoque nota disjunetiva seualternationis
d
av
quae respondet rio vel sic a  b mihisignifis
eat a velb; idque et in calculo usum habet
Nam si sitXX + ab
atbto
 erit x - av b
ebitque adeo
seu X sionificabit vel a vel b, hab valorem
aubiouu ex. caa sisit XX + b = 5X Pot est X ce 2  sed tamenpotest
vetham X ee 3. Xam si X sit 2 tunc ex XX +6 = 5X
quantitatibus enunciate saequationes, majori x su fiet 4+6 = 10 Et, si X (it 3 tuno dex
tates, minoritates, proportiones) aroumentatio XX + 6 = 5X fit 9 + 6- 15 Plures autem in coonita
nes (nempe operationes calouli) et deniq hujus valores seu psentis, aequationis radices dari
non porsunt ut suo loco patebit.