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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 23
# Folio 23r, page id 00068041:0045
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068041&page=45
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ZaSAX: aa-xx est  logarithmus de aa- x
a
qua est logarithum de . X + log. de a +X
modo bo a +x aequ a dx: a+X. Ergo) log a. X elque a +X est aequ.
n aequ. 2a ax: aa - XX
et eub n
a
atu
e
AF logacit log. a- 
e
pe
2
2a
aa xx
+ BE, a: a+x
em
aegu
A∞ log a 4 X = DE vel BF, log. aa 
e
Addatur Modus quo invessigam Longitudinem Loxdromiae
AB vel Ad, X.
2
DF, a: a -x
asd
aa
in figur adjecta sit At vel AV a.
Cd, aux d ∞ aZX
vedeam Haec plongius produxi jam olim dideauus quid
m
fintuccum. divises fomlarum sunt imaginarii. ut. quaeritur
e
2
 a
log. aa+ nfera 1 e seleatur e quaeritar
de
Loganthmmner t Cogxilluo sedivscum; fiet uu aequ= XX. seu Xequ. y
er
c
adeoque
a: aa tyy foret log. _u arg
osuqB (
-
ct hae a
an hoc verum sit ut possimus fidere caticulo per
Imaginariasonscilicet 2a fax anirus ergo du equaus
e
i
ft
e
jam si X aequ. ys 1 erit ax aequdus V-1
a’ergo erit : 2
aA
ress ser 
e
23
d 
de
e
argoia
at sieS
s
quadralog aargus test quadrat. de fay taatyus
4au
seu
Ergo
se
m
mnatio log. a -x aequas dx.a x.  et eodem
a dx  4 e ∞ equ  sax
aux atx
Ergo erit 2a si pdy: a  ag.
duplus Logaristd A: aa- xx est logiathmu de a. ax
+
Nam  logarithmys de
di
erquam ae
urgu
e 
seu
1
440
2a
quadr. log. aatyu est quadrat de
 si esser
 aatyus
2
Cay:natyg
si
et
au ejuss logarillinus erit: 2avsy: natrus
sedapt
am de
e