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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 203v, page id 00068199:0406
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068199&page=406
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es
xtaxtb + Xta. XFC + Xtb. XIC, =3
Hinc
rir
tqX+b Xta XtC AXtbXtC
e
XX + 2 aX +1. a b
ine a vi ata A+b. krC
an Xta. X+b. XFC
Ergo Xta. xtb +
ser
dx X+b. X.
tto
Xta. X+
2dXra.
Ata
sed a tole boxde sevanu quia f a
quia E=
Eodem modo
 jam
Ergo
 0
ac
bc
ita porro. aquod demonstratur hoc modo
D stxta = C extb = D et X+C= E sit A DE= 
lica
X+a. X+b. XFC + X+a. X+b. Xtd + Xta. X+C. X+d + X+b. X+tC. X+d =
prcsitbm Krdixt
d sn xta, x1b. XtC = 
du Xta. X+b. xtc
 Y. X+a. X +b. X +F
b. X
e
+X + 3a X +2abX H. abc
e edor0ODde
BL dx xeta. XIC
ex
e
 dine.
4
X+b
dx sata.x
e. EVNta. X+b. X +C
Sed aliunde quia a v+
XX + 2aX + tabC
2V, X+a. X + b. X+C
ae
ad
C
X+C
XYa. A +b + Xt a. XFC + XL
b0
b
X
abd
acd
bed
xta. XtC + X + b. XtC = d Xta. XIb. XFC = 3XX + 2aX + 1 abe
ed
e
si
c
est Xra. xIb. xrC + X + a.XIb_C+d + Xta. X+ C. XId + X+b. XH. XId = d Xx+ a. X +b. X +C. x4d
Xta X1b. X +C +xtax +b. X1d + Xta. x +C. Xtd + xtb. XIC. Xtd
Xta. Xtb. XtC., X1d
++
dicla
Si
4
Xta Xtb XtC Xtd
anxta. xtb. XIC. XId. seu dx, L + L, + L +L
 4d d 4 a
xta Xtb XrC AtO
X + a. X + b. X+C. X+d
=bexra
Xta Xtb RtC Xtd Amxtb
in XtC
e t  miuhe data curva cujus ordinato in xtd
sait producti Ex progressione anthmetica ejusdem multitudinis, maneulibus abic, etc. variatis X; uihuius curoae tan
tangente haberi summam, progressionis farmonica
et ea
d
sequitur sit tangentem curvae logaritimorum pud smoductis continnorum
haberi summam progressichis Farmonila