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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 25v, page id 00068198:0050
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 24r); this page is its left half.
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et habetnus aequationem generalem hujusmodi
2
a aequ. 1 - 2, a -1 + 2,3 a -1 +. 2, 2 12 a - 1 et.
jam fiat et faqu. a. fiet.
e qu. 11 Z te
Z
d +e aqu. (A 1 + Z e7 + 2
1V- 1
1, es
(0-22
112,3
+ 7, 3-1, 2-2 C73
e
1,2 3 d5
-1 3- 2 lv. 3-
d+ e  aequ. 1 + Z, d e + 22 d c + 2EE d e 8.
d Iue)
12, 3
P (aeterum ex his potenit omnino valor ripsius
in venori hoc modo.
Z-2
b saequ a) aequ. 1 + Z a- 1 + 2 a - 1 + 2, 2 E a - 1 ers
7-2
b laeqo a) aequ. 1+ 22 a- 1 + VE a- 1 + 22)C a 1 etc.
1, 2
b (aequ. a) aequ. 1 + 3Z a- 1 + 321 3Z. 1 a - 1 + 33 33-1, 37 -2
L a- 1 c
 quia hoc modo habentur infinitae numero aequationes quarmm
una quaeque Z in exponente non habet sed tantum in o
coefficientibus hinc tollo poterunt ordine omnes ipsius 2
potestates, haberius valor ipsius Z purusa ex datis, a est
idem aliter fieri poterit hoce modo:
a nan. b. ergo a aequ. paZ
et a aequ. b et acapb 2
et ita in infinitum. Hino fient
idem aliter si quadretur aequatio b ago 1 + Z X -1 + 2, 2= a - 1, er
cubeturu et ita porro, semper enim
 provae prodibunt eodem
=1
modo et aequatio b aequ. 1. 4 22 a -1 + 22,2
cubari, etc posset et ita nfinities infinitae aequationes
haberi possepe quas inter se jungere licet. ut qualor ipsius
quam brevissimus inveniatur, sed bum alunde, illum jam habere
possemus
e