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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 6r, page id 00068255:0011
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Hinc jam porra definiemus quod fiet si tras notae vel plures in
unum addendae, ut
 p-12
M.
3n)
1 (2m) + 0 (2
 J. 2 (2)3(2
)1(2
nam- 1) nt
 O(P) 1(2P) deba
odeba
95YD cba
Hic notae in unum adden
habent sedes distantes
binaria
Ex quatuor notis in unum additis oe ip to (2) 1) +0(2 1 (21) +0(22) ip2) fiet
O(.)
)2(
na1)2
3(2)
ms (nM 1)  n+ p-12
jinc si in unum addendae notae tedium e et m et n ft seu
D(2
m)
1) + 0(1).(2
t
Re
) En =m)
Duarum notarum proximanu sibti condditio
MaI
simper est O(M) (m) +(m) 2(m) posit i esse numerum
Sidisi teniaet et trium est o(uB 1(n) (mit(m usn an 3
perro psito ne
distaetia
(m-1I
nal)1(2. . 1(2. LC
sedi in min 
2
O
(n in
ne numerium nota insima sedi
noio
) a0 vel 0 vel ovelo vel 1 vel 1 vel 1 vel I et fit ovelretono veloto Hinc se tres notas inter se addentae, ut O(2) (2
fiet O(2)1(27
nm ( pe
(2
 (2
ose
1)
pro 4 notis; totum hoc affrintur repetatur vicibus (2F) et iderm tantum quolibet numero per
 protribus coaddisis notis
vicibus  (Z) Et ita porro in infinitum
s Nota  per parem designatu, ut per 2, 4, 8, est 0, 0, 
n. (9.
Alt 2,3, 4, 5, 6, fant 7, 8 sunt 0, 1, 0, i6 Omnes pares, ut 2,4, 6, u
mo crevopndt
OIZ2312232384 lud semper
dimidm prict in perua exrepetitur
dimidium prius posserictum semper
abeunt  in 0; pa impares ut 3,5,7, in 1. sed reliqua (ut im 3, autem dimidium prius et dumdium
posseriu
quod est 11, et 10   et  i in 101 rejiciuntur in ulteriora) Similiter uo
si numeri m, n, p, + esse ut B, 2, 2, 4+ omnes exponentes ipsius 2 abirent in t seu
quiqu omnis repetitio non visu duplicatu foret Quod si essent e
p
Bu et
utique prodiret
teb
progressionis Arithmetriae, naturalis seu differrent unultome =ies Obi8 1B2 B28, et lapono
cepto
positio repelitio foret duplicatio, quca
dnuto
bi essit n pllitio ates
ubiquse esset duplicatio, excepta prima repetitione (=m-1)
Acy hoec de
vem notarum multipt additione veniamus ad
M- 1)
veniamus ad notarum multiplicaoem. O(2.
-1q Ca  p
O(2) O
m-1p. H. mP-1) Et O (2m 17, ( m - 1)
e
dabit O (2V.) 0(2-) 0(
(n- m- 1))
P-n-1
)1 (2 1) dabit
1)
Et pro quatuor notis
nu) (qui LM)
O(3n=1) O(,M.H1 (m1) (n1- m) (
Additione notarum tantum opus habemus pro investiganda lege ternariorum
dubitur 0 (.X) 0(2
quinarirum, etc. sed ad multiplicatione quoque pro quadralas
 multiplinatio abia Triangulares pyrandote
aliisque figurabi p. sunt summae, et summae pammarum naturatium ab intio. Et es mis simplic additor velde. se
imo etiam ja his evitua fonmandis eoitari
indestigandae et fractiones duadicae expressae
1 26.1
upieret
tractione et per consin
3C= Ao2pdotorioro en
Bp non n-M, n- 1=M
upsedp- iB
qi-p
o posterius procrum repetitum dat
tes multiplicatioone
possunt formari
quadrati, cubis