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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 2
# Folio 5v, page id 00068252:0010
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1- C aequ. (C)
9-C aqu c
1000000
A bc d
01 (6) (1) d0000
b c d
0 140) id c
b
-1 - b -c- d
Neglex, quod observandum
erat, scilice hanc
continuatam subtractiorum
non semper procedere
eam residuum minus,
sublibhendo
0
His artibus etiam optime inveniri poterum
problemata diophanti veg verbi
gratia an dentur duo cubicubi quolam
umma cubus. Nimorum juneantur duo
cubo- cubi intena indefiniti, et vidiatar
an comparari possunt cum cubo indefinito
quando improssibilitas suberit, iea facile
hac mebhodo patebit.
18000000000
Y1 - 1 - b -c -
b-c-
c
11 = 1-
-d
cb
1 4
-C = C
 - =  - b +c +d
1-1 -1 -1 4+ b +c+ d
0
Hia
+10000000000000
l i g
C
M
+1 21) b-
id
c
p
caccel
a aequ. 1. et b aequ. 1.
b aequ 1 - am aequ 1 - c) - an
m
Ergo m- am aequ l- cl = an
a bca
Cn n prstu nx yZ
lum nemn lninemn
a b c
t
laman+ lamen+ l+m+n + l+m +n
t +b +c
Ail nom eea delnem ten ecl tem ten rel rem +en
+U abque tbu obl tbus +bur abl abtbu rbl +bq +b H
+al tantan tal ram dan tal tam al tab tat
1
1
1 1 11 
In ipsis aequationibus comparititi apparet
Ergo b aequ. 0. Hinc patet a b c esse 101. a
adeoque solum numerum s L. dsi c
dare  ex es qui tres tantum character
habent dare nuen periodum etiam trestantur
haracteres habenterti. Itermus ex his patet
omnia calculo determinari, per Deosumode pose.
si suurbamus. Uimtque qpatdures etc.
et multiplicemus per a +b +c.  ea inde conferamus
productum cum lIIIIIorC non erunt
omnia determinata; men possunt enim
tamen erunt de terminati, ex datis a. b. c.
Hac methodo p
lc
0
periodus.
so mmtan quo.
M.
101
periodi majores esse vel brevores valores
Nam patet tres doluonuas
(t D. e semper redire
 pta ex primis et
ultimis facile perventur
ad deterturua tionem omnium
nam ul aequ. 1 et cn
aequ. 1. ergo tam a quam c.
aequ. 1
Nursus bl tam aqu. 1.
Ergo fit: b aequ. 0.
 est lenim l necessario
1
possumus calculum nostrum instituere
vel ita ut datis a. b. c. quaeram
lam  ita taem ne ipsas
l. m. n. p eg. r. etc. et Huna
none datu
ibi commode finiat periodu, et meliu
incipere ab initio. siu datis l. mon qualiam
a b. c. etc. incipiendum potius a fine pera
 etiam re nesci unou nil refert a fine an instio
cutam potentiarum feru numerotam
su numeri infiiti, qui in se ductus dat finitum inveniema. item eos quorum possentia
in nn
qui
peros ductae efe invicem conjunctae exhibent simtos vel aequationem
1
Nihil
hoc culculo, asria nunquam in potentias astenbrt