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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 4
# Folio 12r, page id 00068022:0023
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et mulriplicando per cace
(nd VD C ned
nd VB - ne yβ
C n
EPd yd =pe y C+B
Unde fier:
Esto
pars Uta schediasimatis de seriebus et summis quadratiicibus
V + V + y + a +1
Mustiplicetur per y fiet:
vae
ommmumque fmma py.
P + y + y + y + 1, y2. facile ergo
haberipotest summa omnium yZ. Sed non ideo  faleor summa omnum
e habebitur
Eximpeos, s formulam C deno comprobemus, resumto calculo, ponendo
h. l. c. m. 1 v. fiet:
∞-dy- Cγ fy- 9
n y + P
Esto figum: d ∞3+ CV
ed
ny +
fY + 9
1 X. Eydi
 n
yB egn
nd  tned + 2lp ps
nev +
Ponamus f
Nam.
proba haec est,
multplicando
c  op 19,
dv
30
+ v +f8
+2yB. + f
tex
ejus differentiae Z
3nd
n d
3pdyβ
3pdVB2
Pd 3
+ne y3
eney 
+bne yB2
pey
+ 2 peyB
+ pe
+nsV +n V
+nt yB (+ p9)
=Pfy
+ p+B
dividenda per
ny + nyβ +pnβ
+ pny + pr
+ puy
Per: i dividi potent practio per ny + p.
2nd 3
+n
+3pd..
nd)
Dep. V + p)
Op..
+ P
epn
L2dV 1+ ne y Cp
rne y = ep
+npo
23  3.
+s epn
2d7
epe
non
en
Unde patet, ut divisio sit exacta
debere npf + nsa exte e gepo
Nam
et erit fr Eop= n g
Recte divisum est, sed jam indeo productum
ni
u
n V +
l
fler
2d +ppe sepn
 d 2-
epi.
d..
Etsi nutent
misus dividi posse per tp.
adeoque nutam mic aequalionem
ad Hyperbolam brici