# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/41040/text
# Catalogue record: 41040 — [Aufz. zur Dyadik]
# Incipit: 1/3 aeqv. 0,01010101 etc 1/5 aeqv. 0,001100110011 etc. Multiplicentur
# Date: 1680
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=41040&katnr=39202
# Work: https://leibnizlegible.com/work/00068255
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folios: Bl. 89–90r (from the shelfmark LH 35, 3 B 5 Bl. 89-90r° (=39203)): 3 pages, canvases 177–179, page ids 00068255:0177 to 00068255:0179
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=177
# Lines: 257 recognised on 3 of 3 pages, mean confidence 0.77
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 89r — 00068255:0177
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 90v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000177.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine
 aqu. 00dldibi ec.
5 aequ. 0, 0011 00110011 etc. Multiplicentur invicem:
0,0101010101010101 010101 01010101010101
1,0On 00I1 001 0011 001100 1100110V1ODUL
000,00rdoldet0d1io0110on 6d 1l6oliobn
0:9: 0, 00110011001100 110011 00110041001100
1. 0.0001100110011001100 1100 1100110011
. 6.0, 0011001100 1100 1100 11 0011001100
10,0,0011001100 1100 1100 1100110011
110.0,00 11 00 11 00 11 00 11 00 11001100
0: 6: 0,00 11
1000
:9.0,00 11 00 1100 11 00 11 00110011
3.0,00 11 o0 1100 11,00 1100 110d
0.000 11 00 11 80 11 00 11 00 11
unde
10010001000e
1FL
O: : d, ou, 11 11 600οI111 00DDLIIOBOIne
060 0100
ovitrooor
112222 212331900940
1 00 11 00 11 00 11 0D100 90DVOIIIO⁄DOII1IOODO11110OVDILILODO
eia cu
000000O
9.0,00 11 00 1100 11 0011
9.0, 00 11 00 1100 1100
0:0,00 11 00 1100p1
00, 00 11 00 1100
0:0, DD 1100 1
0. 0,00 11 D
010, 001
0.0,0
1BDoC
100001000031
duae ergo in unum addenda
periodi series periodicae
QuovoooM OO
Duae ergo in unum addendae series
000VOHHOOODHH OvOHOVODDOOONOodI
1000000010000001000000100000050000001
0ovvoi10000 vo1000010000n6000100001(0000 116000111000On0OOOOOOI
jlevoivo
00000 11990001
videndum quibus fractioni
190000900000ess0n0848 3p000901000
hae duae series periodicae
11
0a
periocitae
partiales separatim
erpo
valeant, nam summa debet esse
ANDeICBIBOVIOBI186D1∞I1O00II11001811II 1B1OOA) ett aequ. L. sed deberet prodire
O, 0a01 0vo1 a d vI er
esrulliplicatio enum nisti
tacuon esset contraria per
000001111000111110000(11100001110000191800001111000011110dd
11
aequ
1001
leu aequ000100000000
tbe1
10010000000
aequ 0001
P001
000000e
00100000000 eu
aqu.
100000000070

## Folio 89v — 00068255:0178
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 90r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000178.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine
1000000 05000000 erc. aequ 
X
1200000000333 cu
44
16800000270000000 u 4 1000000402000000 ap i l1 1000000 0 f016666617.
0
AAX 4
3 per = dat F. Videamus in serie:
60666
033333333333333,
16000000000001ego. +
1947
oneerictrs
o1Icrescts
voiciricmti
01c s iii fccsis
91i 1iisicuYisi
br11f1 1111Y1
restituenda
deleta
oiricei
ot 111 1Y1Y1
8111 1s+ 1A 11
q1i IscII
91
1
esi 1s1
111
1n
11
11 1
1111
050000000000000
016666666665665 ec.
050000000000000
033333333333333
 5555
NBXB BX8
0
333333
3333333333
9999999999999999
6 1
999999999999999
99999999999999
9999999999999
999999999799
99999999994)
y999999999
499999999
99qngguq
1999999
99999y
e
100
nam vel minimo ad sunm, ec addito sit  s1.
0
difficultus magna: Som. gu. 1 nonigo
iooueun
8999999999997999999
C
O
op 6BB 1050012345690 11
AXXXTAEEr
0 1111 III1100
erc
idem aliter demon stratur 00999999 etc aequ. 0 100000 ere
00099999 etc aqu. 0010000 etc
0000999y ete aequ. 0001000 etc
00000999 et aequ. 0000100 etc
00000p9geu aequ00000reu
00000009en aqu. 0000001 ei
Ergo smmaeoum 
aequ D1H 111 ere
AB4000000790123eC
(8
5555
166666666665606
0333333333333
9,01234567891234167893456789456789 56789
, aequ 90 123456,19, 01 24 15C,9,
XXA 6
A3
0333333
b01 22456789+2345648912561 89
6139 209899012345
 y
000
A
n
vel
3

## Folio 90r — 00068255:0179
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 89v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000179.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 95 lines, status machine
Secundum Logisticam, bimalem:
significat 1000000 erc. potentiam a binario.
Aa
A
+ 00 10101010101010101010101010101010101010101
prr 3 001 0101010101010101010101010101010101010101
Ergo L aqu. v x  1 6000700101010101 etc.
001010101010101010101010101010101010101010
n 910101010101010101010101010101010101 010
00101010101010101010101010101010101010
010101010101010101o1dIVIOIVIOIO
0101010
901 01 101010161
v1 01
B
o
1
0
qn
g+01010
 1
010
0
110000010001000
aequo6 00 1, 11000 1 111 1 10,1 100011 1 1110, 11000 e
periodus
periodus.
periodus
sed deberet prodire: 0000111900011I, etc quod valet. priodstat
G
Cur id non succedat nondum rationem deprehendere spotui
Gy 0,000111, 000111800 111000111000111 eu
000011100OTH OQVTE OVOIOVO
aequ.
1- X
er
Dato numo semper quari et
inveniri potest vellipsituan
numerm progrissionis se
Vaceticae duplae dis
s
simile tedrum
quod est morum, fit enim duplum prooris
0000or100010001110001110001
per Gry. 1 00
Ergo  aqu. O 11IIIII IIe. quod desiderabatur pudit 000DBO 1I 1000111600111000
Qeorirb
fracti extalibus componatu
0, 000111 0001IIOIDII[IDOII er aequ = qu. 000610VDOO10VVDD10000DC qX+ X +X X et
01 2 3+56289con 12 11(4
10000
aquXIX +X+X.
1-X B 1900
40000010000010000010000
+ 60000010VVVD10000910000D aqu X +XLX +X
posito xaequ ioseu
Hinc modus habetur datam periodum evocandi at seriem
perioducam revocandi ad suam fractionem forte et
000 blistu peoan havitei a srdo priens devetuo percatous
sil
000 sun nbad: 10000- 11c. Videndum quomodo hinsperiodus derivetur
Et 11 significat 3
.
11
010
10
sl divloi viocoioco
010 10191010
b
i
0
610
0101010ivi
on v1 divi0i
1
D
00
000
11
10
10
1 101001
10000
11000161
11000111 0d1
1100011 1 10010
1100011 1 110100010
1000111 1116000010
100108C
101 100010
Hinc praect
rum inbentur
datonumero
terminotm
pro a progs