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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 27r, page id 00068033:0053
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fiet
fret:
vel
e
b0
167
aequ.
2.
Quadratura per coganthmos.
VI - X
X aequ.
aequ
 7-1 1 LX aequ.
Eronea
posita ax aequ. 1.
V 1
Vi -X vel
fiat fiat 7 - 1, LX aequ. y.
posita Xdala
L 1 - X
et
2
-
LX aequ
 
y aequ L1 - + = L7
et Z quaesita quarum illa aequatio erit ad lineam rectam data
D
hoc ad Cogarithmicam itaque intersectione lineae
rectae datae, et lineae loganthmicae datae solvetus
problema habebiturque ipsa
(2)
X
ae qu.
1 - XV
adeoque et ipsa
ed succurrit ratio id assequendi per simplices logarithinos
ac proinde problemata quae per interfotionem hucyut
lineae rectae ac loganithricae solvuntur, solvendi simplicissime
X +b aequ. v
-
-
per solam quantitatis datae logarithmum quaesitum
hoc modo:
et fiet:
iet: v -
aequ
v
Ca
V1 - X,
Dficullas hic quod b evhnes
imi, non vanestet nisi initro
omuttatur
EIX aequ. 
v-1
DX aequ. L 1 + x + L1 - X
L1+X + L1 =X
pone jam b. aequ. 0. fiet:
te
V
si
aqu. V
= X
X1-12
e
adeoque fcF.
ponatur X aequ. 1., seu quaeratur
area quadrantis felt:
v -1 aequ L2. seu Vaequ. L2+
X +b aequ. 1. Ergo fieiet area quadrantis..
ruto in eo superest difficultas quod non exiressimus cuignam, L2+:
sit unitas, unde
N
raesi hoc addamus
s
Clcti
1= 42