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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 3v, page id 00068033:0006
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068033&page=6
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 111 lines, status machine
# Lines: 111 recognised, mean confidence 0.77
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Aliter lb + 3Z aequ. vv. seu v aqu 1bb +3 aequanda conto
bb (t22 equ (22+ 2Z 5+ si Ergo Zar  ∞bC bb- Nogobo - is
et v aequ Z+ s aego bb + f. et dq aeqo bb ds - L ds. sed hoc
Aliter 
bb - bb apo (is s, at bt fbD
b- Zv aequ
 aequv. aequ
2Xx - Xb
1. 2, 6
2.3, 2
23,3
ego - - 
 EXK
b aequ)
qu
2
s
(11
aaaba
XV
b+Z 2b-2
b+Z. Ergo V aequ
Repelatur pag. praecedi signo O fint:
1.2,3
L aequ a  aarba
ligo
62
pognopere ad rem nostram repelitur
1.2, 2
2XX CX.
Eudexb
a + b
t
bb
3.4, 2
3. 4,
+
4 3.4
12, 63. 4
et
+
a de
6b 4 bb.
b+Z
b7
bl
b. Z
Sed nihit hiac
eg 15 +
rAx 4X 8XF 1645
+ 2x bb + Xb et i aequ L +
2XX 4X2 8XS 16X
clara nihil hinc
b+Z vaeqo
Li + 1
di
si bp
Six extrahatur (E) lam ago 12 + Z l m + 4 . P M, 12 tC.
sit Z aequ L. et l aequ. 1. et mago X2. fet: 1 +  XX  _ at n + +. X - 5 XP et C
92
et summando. siei X +  X -  X +  X7 et , senfict X + Z X + 23.1 X + Z E 1, Z. 2
3y1.
posito Z aequ2. unde posito X aequ. 1. fiet = +  + Lt + 2 2G 1, 2
59, 12
13, 12,3
79, 11213
ec
, hut duo ternin, quorum uno posito a, eut alter b aequ a f: (Z, 12 a aequ b, L= X1L, X
b aequ:  h =. X 1, 2X - 1 sed alsoluti per solam x vel per plam
X + 1
interim habemus b expressum per X;
qua rotur series hujus summatria:
a
d autem est immer terminoruo uno delnito.
m n’ou mago m. laequ b. n- n aqu c.
Ergo n- m aequ b t   E 2X bgo   = X - 2 , 2X- 3, m - l
X= 1 X - 1
satius credo cuncra fieat hoc modo
AB 1. C. Ergo DB CN  qu (  dr aego X. X + X - X14C
1+X
quia AFago AB + BF aequ 1t X. et FGaqui et Beago qu + t   e
sit jam BFaqu. L et AF aequ  pet et F logo Z. fiet AB . q et BB aequ Fn.
erit AL AI aequ b -Z. et Anaequ. b + Z. ergo lm aequ. . et npaego . et
a (
b+7
que nam Im + apaeqo (+ Z) + L(3)
bb -77
bbqueE aego _  23 bb.
seu 66. aequet
bb bY
5V-
2 es 2 + 2 + E etc ago DBCAd
standem _ Z aqu  2O3 nam Z ullinum seu F B vel Feaegu L. et bseu AFogu L
Ergo L aequ . Ergo fit: DBCHD ego = 4 1 4
seu
113
8. 3
5.3.
+ 5, ete aqu ++
x pari aequ. s. posito X esse mueros naturates deinceps ab aonitate
2XX-
Habemus autem relationem, ductum terminorum inter se ai sint ix x quaeritur _ si sat 2x9 1
e
seu posito 2X +1 aegov. faei aequa  et vir quer aequ. b. Ergo 3 aqu b
18b
ergo fiev. var, q aequ.b. Ergu seu va aequ 9bv + 18b et vaego
a gli eo a or A 29t, qu  
etc
aeq. 1
S+4)
seu