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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 81v, page id 00068255:0162
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a -1 b = 010te 1= 0011001 est 3   , l1l1. 0500
o  =1 -1 = 1, 0, 1,0, 1a, ert inc -
Omnes Binani tem Dyadice omnes Binarii terminantur per unitater
Vidennus de Ternams a = 01 b = 0011 a+ b = 0
a +C = 81010101 = 0101, 1010
b + c = 90b181
b+te = 0009000000110011
90
atd = 9101M
Diio
00000000000
0000000oM
Et ita pono
sedis pprioris repetuntur in dimidia part notarum alternativarum perodicarum sedis
posteroris; reliquae; eaedem v in post. sed in posteriore transmittantur 0 in 1, et In 0
Hine si tras Et generaliter si quotcunque sedes dyadicae
Veniamus jam ad trium sedum additioaum. Hinc si
-b zc ad -c
in unam addantur  dimidium permodi sumno
periodus prime sedis implet dimidium prius
+00800000000000 0 secundae et transimutatur intentia
b
5
e
Eadem dimidio secund serva ta reliqu
et  et altero transferatur ex 0 in e et ex 1 in
periodos otdemnta; perimae putmm
dimidio sae rete priore re secundae retentis, posteriore transfora
Dimidium tertiae prius repletur
matis  Dm 1 et  in
sint in
lolo praecedente transformato
Et posterius repletur
O in 1, 1 in O O in 1, 1 8,
enas Generaliter  si plures sedet dyadicae in uni
addantur series alternativa notae productae, eandem
hobet periodum aequalem habet
TTTTILLCMLMLEMI
periodum cum, periodo secis
e ba
altissimae, et pii
dimidium period
ropletur periodis
summarum notatum
alternativam
ofaitgum ex
sedibus praeceder.
tibus, posterus
resiletur his unitatem ubique additam trans formatis
sit nota pedes sic sunt sides in unum addenta
optimum eut sedes denominare per perintos. Sedes qu
1 habet periodum alternativam constantem ex ntis oF duabus et
secerda habet periodum  altemativam constantem ex notis quatuor 00ii
sede, etia Et periodum constantem alternativa constantem ex nots octo
Haec suppo- 00D01111. Ergo generaliter sedis m notae sult  periodicae
nunl eapdem alternativae sunt 
m.
M, n, P, a. fiet n n series periodica producta habebi
m men, mentp, mtnapeq
erioda
erio
er
poducta
ntrq. Ex qu sodes Et sedes notae sedis m,
nota sidis R notae sedis M et sedis B simul
Ex qibusperiodus producta habebit notas
habebit motes
+usque ad 3
plebunt loca a 2
periodi sedis implebunt loca  a ~,, usque ad a 2 41 usque ad  2.
1-
sint ergo in unum addendae sedes mnnq
ipsi non M, n, P, 4 M. M+n mtni meniptq
idem sib
nodi
notae sedis c periodi sedes m, cum unitate, 
eet 
periodi sedis in  unitate  implebunt loca a n + 2 +1 usque ad 242 - 22+
implebunt loca 
periodi seri periodi set
m implebunt loca nusq a a nt su id +
n.1 et periodisedis in cum unitate seu hansformatae, reple
e
n+1 + 2
n+2, Et generalitem
bunt loca a 2ut1 = n-1 +1 usque ad 2 + 2, seu usque ad 2
n+
sic dici pt periodi sedis m implent loca A ab 1 usque ad 2, a 2+1 usue ad 2+
n
ad
na
41
a zne usque ad ntl + n -1 ∞ 22t +1 usque ad 2)
n-l
1- 1
n + 3
2+ C
+ 2
et generatissime penodi nae sedis nemplent loca a 22+ e =1 usque ad 2
d quamdiu n+e+ non excedit P-1
similiterque periodis sedis m unilate anctae im pleut loca a n+ nal +1
at periodi sedis m
usque ad Zut eX1 quamdia hoc non excedit 2Pa
o
00
10
1..
100
0
110
0
11i. d111
000
1001
1010
1011
100)
101
1110
o 101
 110
0007
01
0