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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 161r, page id 00068196:0319
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=319
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# After the first blank line: the recognised lines in reading order, one per line.

a
e
AX + ut
= +
e
x
XX + anuX. F(XX-aa) ax)-r Sxx taa, dx six - an dx-
NXdx s X + ab, x) = SXxxax sx 1ab si dx constans
a
sit XX = aZ fet Adx = L act Z et fiet 4(adZ d Z 5 (a 1 b)
4
et quia dx constans Ergu A dqe adz: 2 tize fiet  dz. saq constans. Ergo
c-1 L
405
fiet = (, ap aque d2 s7 + a b) M Niut itaque hunt novi etsi ax
e
4 dLa
constras pountur
X( (X +bx)dq  sax f 5, de Sax 1( bX) + s SXda Y(X X +b)
2
EF X X siXlX S + bXX + 9) Xsi de ((X bXX +C) = (dx  abxxtc) + (dx sax H.... )
c
paertm (de Sa + a) fint a b
 = y Xt =- logue y X = Y logy ex =  d logy X loyy
 3.4)
fit (. lo. (lugy + lg Jligys, olloy logy
rg.
2
1
P-x
Et 9 = 2 (dx logx. X. B  = 2 Sdx logX. bloy X
lovoy
sin exD = logz seu 
= L
log.
Ployx
od an ergo hoc E fdx logX b
g
 X
We =logZ
1n - Z
e
de = dx 2P dv = dZ et dz. = 2nb do
Ergo 7 = 2 de ps
0g
vo-
V = logX. quaetitur cujus leg. sit BV sit b
fie VV = logZ
V
ve
e
Ve loyze iitaque si V sit logX Ert YY
s
es 
fiet
e
lg X GlogX 1 s X= co
p
2.3 - (63).
seu Z- XE
vo
9X q
e
 bes - (6)5
e q. O = X. Pu L=S
sit ve log2
v.H
b sit b- Zad- b
quadilosque
en
en
3. 4
V = ligX seu X = b, quaeritur quis
itans sit sellogx
sit numerus Z, cujus logarithmus sit V. seu setlogx. Ique
pono esse
Erit g =  - flogr
Iu. v2 - g.
itaque  Numeus cujus logarithmus est potentia e. loganthmi ab X)
erit  itaque Numerus cujus loganthmus est quadratum
0g. X) e-
cogx. Itaque ut hactenus habuimus
Loganthim ab X., est X
qodessumens quod faciat Logarithmorum additio, subtracta, multiplicatio
a
divisiou habemus nunc etiam quos nunceros faciant loganthmorum
potentiae. Cm Numeroum ellevatione, divisione, multiplicatione divisione
habemus quid fial in Logaithm rest jam quari potest, quid Namerou additia
vel subhactione praestetm in Loganitimus
l.X=
1.4r
 aX
E
de
a
p
k
e
pe
Ec Ergo si
ata