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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9
# Folio - , page id 00067968:0099
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a
solas homogeneas
Omnis relatio inter _ tres literas X, y, Z
11g
seu ut ratio
inter unam et tertam inveniri possit data ratione
uter alteram, et tertiam
Omnis relatio aequatione expressa mutar potest
e
ne reduci potest X: Z
non valorem, ut si sit aequalio X9y, Z = c
aenulari pt in valorem inde ductum X:  Ge
quod significabit ( X duci ex 
1. La
dela
ct
eg
AV.
o
e
  et servantur legis homirioa
portet e
e
e
La
sue
tunc datur +: v seu rato:
e
f et ita ut solae ad sint homogeneae + et V tuas
t
C+. D ratio inter + et v est constans seu datr
e
hinqu
eou
 y: 7 1
sed non sequitur ob R. L
C
e
10
dari rationem X ad Y, quia X: Z et y1 Z noi
sunt quantitates, v. g. lineae, sed rationes sere
numer
een
si arb  valori per Y crb, d: b
b. a = valori per C: a, d: a, Ergo et
bid = valori per cid, a: d, adeoque et valori per Cid, dia
Si
u
ee
Edari rationem dari rationem inter X: Z et Y: Z, hoc est
si sint relatio inter a, b, c, d, et sint a et b honogeneo intea se
itaque utcum possunt misceri
nom vero cum c aut d et vicissim suit C et d homogeneo inter
se, tunc dabitur ratio a: b ex data ratione c.d, hoc
funoamentu cacculi siperementalis. Nam turg a et b per
laa servane hocibgeneitatem