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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 17r, page id 00068255:0033
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lagina sequens corrigit quae hic non recte
9ca
h d b
 ea
1
C 0
Series sum
matrix
Series simplex
80000]0 0061 )1
60000 1 1
00 1
00 0100 4 v.101
30 10019.
0111
0 1000016. 10019
0 1100125..- 1011, 11
160100(36
qecq
a + p - 2ap = 9 seu 1 +0- 2. 1. 0 =1
a 1 p 9 se1C1
6+9B- 2b9 = p 1 + 1 = 2. 1.1 = 0
Rb g = p - b, : 1 - 2b = a + p - 2ap
seja
sit (p) - b = a (t p, - 2ap - 2 ab - 2b p. + 4 ab p
nesso, sit p = a + b - 2ab, :, 2a + 2b - 4 ab
Sed ita incertum est valor ipsius P sit 0, an evanescat, nam tertius casus ut sit p - (0: 0). 2
0fb seu p = 1+ 1 - 2 3:, 2+2 - 4
itaque assumendo p qualcincunque esse sit et
sumendo a + p - 2 ap = 9 sit 9= a si P sit 0 et q 1 ou si psit 1
seu 1: 2  non potest habere locum
et 9 = p si a sit 0 et 9 = 0 si a et p sit 1
assumi potest p = 0 Ergo q = a
et
0
p = 0, Y= 0 W =
pe a + p = 2 ap =
cex  C + Y + ap = 5
Ergo 9= a
Ergo 5 = c
Abstrahamus an
Col. 1.
pe a tp A Ea p =
( + q u 2bg = 1
+ b + a ft p, B2a p
e2ab 2bp + 4 ab p
2ab
rat ab- qub-
seu q Li arburab
Eodem modo quaerendo 9 fit  n a + b(+ 9- 2b9
2, a+h
v
a + b - 2ab = - 2
a b+ 2ab + 2a + 2ab- 4 ab, 3a - b nanb
1b - 2ab
2ab) L  t ab
G= a - il arb. rab
V, N, W sint 0
at b + 9 + 2b
p=
-
24( ab -a b
-2 ab - 2ag. + 4aba
+b - 2a
a + b - 2ab = - 2 a+ b- 2ab
+
dicendum ergo non haberi ) per hanc aequationem, si a - b
seu 7-
2, 2al. - a -b
sed quid si a = D et b =1, set videtur fieri aerquatio obsurda seu qu 2.
An ergo q = P, sed hoc est  det
Et tamen ex veris non potest sequi nisi verum. Ergo repetarans
1 et fiet 1 +0-2. 1.8 - 1- 7
Calculum literatem e semper eplicemus in numericis: 40-21.0 - 1-7
rursus b + g - 2b9 = p seu 0 + 1 - 2. 0.1 = 0 male. itaque video me
a + P - 2ap = 9 sit p- 0 et fer ea  46 =0
a et b sunt
impossibile assumsisse, has duas aequationes conjungendo, cum ab senes smplex
inaequales. Id est peribdus non redit in orbem, nisi
post duas summatris columna est un habet
periodum uno gradu altiorem regulante.
8.. 
1101100
summonu b summaliim
at g- rag - h 1, . 2bh - 1 ati - hai E K btk 2bti = g atg raget vam) e.
notatu dignum est
9 = b.K - 2bR = b+ a + 1 - 2a1 - 2ab - 2b1 + 4ab1 = (+ a +b + h - ibh. Eal - 2aht gabti
id
b -2
et denique g = a + a +9 -2a9 - 2a = 2a9 + 4ag.  a +h - rahi 
pl asia
+hab ta abh. 8 alt. Y2
hic
id est hinc demonstratur praeter opinionem, io ipsum quod assums
umunde s imntinlitas on itetit er  atinti cotinre
uminantae intunstant ese e lot uit  arto udt
u
Y
alie
ot
get Cas rapto
rgalo
C
p20
20
Erg dobitur V, dabitur t
dabitur sed per fractiones
At finctiones fuciuit
ubignitates
2 _ab 17SB- (abos)v
(. 2a . 1, 25 - 1) B - 2atfunb
(11)
. corsan cas. rahu. 1 -. 1,
et 25- 1 = 1 fit v = 1 - ab = 0
ten caltem V = (2
= ab