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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2c
# Folio 119r, page id 00068199:0237
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Ut summabilis sit simpliciter
1Y n+ ny + 1
0a 10 + 119+ 12 dy
erit differentia ipsius 20+219 =0 et int e d20 + e1 + 21dy, fiet p∞ 20 = (10
21 = 12 et dez = 1 Sed Ut sit summpbilis postumat sipligationem pert, fior
20 = sio sion 12g=21 12dh + h d 12 = ich
sit aequatio 30+ 31Y + 32dy + 33 ddu = 0 Haec dividatur in duas partes
40 + 41y + +2 ady = _ sot  sedy 53ddy fint 40. 50 =30 41 = 3
Seu 14= 31,
d42 = 41 (d53 = 52 seu) d33 = 52
Habetur 42 = s1
53 = -33 4257-32
Restat 42 = 52 =32 seu (1 + d33 = 32
ponanus an esse constantem, fit cg -0 ut superes
 2
si aequatio puius ponatur dupiL plienta per k. fiet Sdik (4 dB9h)  32h, seu 3ch+ ad2 + d3 dh + 3Gdch = Zedhi + dzet multiplicet
per an, fige s sexpoinus sipe hodio sommabulis BI + sa 3Z-d3L h. h 133. 31) ahdh H 33 ah dot = S
compenda sit tt Fuent 604616 +62 av + 63 ddv
83 din fret 60 + 619y +62Gdy 407
et dd 83 adB = = C
fit aA = -s
seu
oe sic
6
462d,7 +629 dy
c 619+ 62 d9 +63ddque 629 +2. 63da
L A
61 +
63
63 9461
et fiet 61 + 62 de
do
3
67
C
dus
d
6
2
d
 = _d7 et fic
d
d
dg dg
63g
s fiat v= 9y
A
dx
os
fieret
de
jam ddque
sed hoc multiplicatine
in potestate
ayt
dgy = ag
ddy
 = 2d9dy
)
a
e
qa
Cd
d  4 agns
da
a
e
E
62 +  ddz
62 dy + dZdZ = d.
6
d9: q id est lq progressionis
((62. 62 = 4. 61. 63) = 62
2. 63
639
dagus = dd. 9 + 2dglys
63
d - d62 + 2d
C
3
dy d7 + 623 + 62, 62 = 62.62 61
si jum de fingeremus constantem, seu
geometrica
d
629+2. 6dy, d
619462 d9 63 d d9 y +
c
e
+ 2 d  = d62 +(2)deq
+ 2 d
d 4
c
si jam da fingeremus esse conctanm en
fiat
et
l-0 = 63g
+63dd97 + 23 dg ds + 63 gddy d
d
463. 63 4.63. 63 67
constans = b dx b: a
dntae aequationis efficere non
S1n+ 2aH
at
81+(+ 82dh = ed
Bih  82 sato - C0
gaaus