# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068255:0181
# Permalink to this reading: https://leibnizlegible.com/page/00068255:0181?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 91r, page id 00068255:0181
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=181
# Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000181.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 152 lines, status machine
# Lines: 152 recognised, mean confidence 0.76
# 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: the recognised lines in reading order, one per line.

Siquons pagiua proba est
vivendum an in dyadicis exdifferentiarum perodis possint inveniri
periodi summam
1
11
4
0 12.- 00 01
10 1 .. 1 001
0 0. 10000
011. .. 11001
0. 100
a+ m = Nam im
2am
00
a+m -ram ad L _ - 2 al = m
et
a b, a b a b a b d b
lre la m l in l ml m l
l. n (  td est D, si l = m
Viligab Y
a Si a nume dyadico
fiet prima nota l+ m-2lm
et secunda sequentes notae
subtrahendo m- lm = ()
fiet prima nota provenientis Utm. um
sequentes autem notae provenientis
prodeunt si rursus a minuendi notis
sequentibus velut novo minuendo
oporteat subtrahere m -lm = (m
et prima nota nova provenientis,
secunda 
ser paima, notae
Ergo +t 
IC e
- M
Si ex numero dyadico minuendo
m
(+m 1)
2((1,B ( . V)
L)
m est 
siet squ mes
in cul 1
qu
=
am
-259u - 28tib
si m sit d sin  m
terminus primus eutm T ego 1 + m - ulm
t+ l ducantur invicem fit XX = X
1(5) AleL
a
=ulm
EbI
Jam si lest 0 et m est 1
Elm
morbet ab A tIli M tu 1
id est op elt ab X tulli 1
LM
caeteris casibus oportet
eru peralitr
folli, e a tolli
p-ln
l est C et m est 1. uet ab
ali A spodtr
opsitet ab A tolli M - lm = 1
Si lest 1 et a esc
oportet ab A. tolli m- lm = 0
si l’est 0 et m est
oportet ab A tolli m- lm = 0
si l’est l et m est c
optet ab A tolli M - lm =
Ix +-
Ergo generaliter oporlet ab N tolli m - lm
et A est
(M)) = (M) - (1) (m)
(M))) = (m = (() (m 7
MM
=(in -lm
+M
m
-22m
+2 lm X
hebet tollit + M. - lu -mX + lm H
 et p ((A
posito (M) = m- ln
stem) Am) um
illqu ata)
M
Nan 51
seu ex sequentibus rinuendi
oportet sub trahere
te
M
squ
l’velel, vel 3l, etc desal esse 0 non sit 0
fit M = 2ab, b3;, 4 ab  - 2a- 264
= 2ab- 48, 4 ab - 2 2b
fient subtrarendo
eti
d
quo facto fiet
etc (e) (A
oportet subtrale M
ex et. () A
otis
N
A
continuandum eril bonec teminus lovel el, vel 
a+b. 2bb =m  1+4 + + 2al
=2ab = 2bm + aabm
e () X
d
en
rg abliqua et 1-l, Si M sit 1, m v generanter +
2bm = L
e
(1) (m -Im- im A+ lmd)
universalis
regula
sustractionas
Dyadica
e m
tit
et Im X
2um
+2() Im
+ 2(X) mX
=2 lm 1)
si m es
 aalm
(se in cisnt esse
nam ubi lest 1
(m) Filausa 2) segrentta
sem
M
d
2sgm
tat
1
+(2
2
et oprihit ab (A
seu m -Im - M) + lm
1 n - lm - 3 (m - lmi)
toll
fit
i m sit 0, etrum (0n)
et alia sequentio sunt
est subtractio, ubi
vell vel 1l) vel (1)
et m est