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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 20r, page id 00068033:0039
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ce X
 2
si est Algebraicus. sit ABR1. cujus logaretamus
Ia
3
da
s
22
e
logaritimque
ipsi FG
nempe FG
sit es AGB FEBC
et AE⊓ n.
erit GF proportionalis ad
Hd in ratione multiplicata serundum
rationem numeri AG ad numerum
AH. seu erit GF
L 
E.k +
e
b
a. Il a
positoqu a 1. et
et Cp 1- = +L ek. fret
le
pl e
est 0. sit AC2. cujus loganchmus rC
quaritur
11D A
AB AC
e seu sumi AB pro unitate et fiet.
de
 Tocarichius hyperbolicas seu area Hyperbos
F
s
 11
sit AB a et AC ⊓ b Hd et B
a
de
AB
 posito ipsius AB logarithmum esse
cb a e+Cx
et DC sit logaritimque arbitrarius assumtus ipsius b.
i
2
aquatio
+
et
12
posito n numoro, et 
logarithmo Hyperbolico, seu area
1t
cujus basis est n
Haei aequatio ut sit algebraica, debet necessario