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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 9
# Folio - , page id 00067968:0077
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problema crca Analysin illam altiorem
Relationum
Data relatione inter duas quantitates, quae habeant
ig notam
respondentes
existentes
dens ad respondentem; unam datae inter se relationis
invenire relationem ignotam.
3
esse Z= X et V = XKM
Ponamus esse Z.
siet ponamus
X et v = 2V XX:q, quaeratur
moda ipsique NC tum Z et D et sit y + v= a, quaeritur
 modus ipsius s. Scilicer duae sunt aequationes
e quantitates 7 et v, habentes inter se hanc relatione
dertam ex aeq. Z ut summa earum sit a. Aorro
eaedem habent eandem porro quam relationem habet
ad X eam relationem habet v ad XX: a
et X sitemque XX: a habent inter se relationem
datam, nam si X quadratur et productum dividatur
per constantem a, prodit xx:a. quaeritur hinc
modus ipsius N
sit a = 1
sit ergo 2 pux tX
sit ergo z=
en+1
en+2
10 X + 1X +1X
ren In
2
vent
+ 12 X
+ 13 X
1+3
MM
2en+6 et.
+ 13 X
et fiet v = 10 X + 11 X
I. debent oia destrui in unum addendo praete
unum terminum. Sed quia id noro videtur sic posse
obtineri, licebit fortasse facere X = v+1 et ita
poterit credo en fieri =0. ita enm credo modus dabitur
minia destruendi, idem si en =C
atut praeter tennimm
cont absolutum, aequandum ipsines a, et ita
1 erc 12 et
reotandum hic saepe arg. Iufiutam, qtam non apparet finiri, pose
ivenientur 10
finir per explicadem literae