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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 38r, page id 00068255:0075
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Pro
xadditionibus binariis duplisi via
incedi potest Nam e
at ab +a
E Nam posito a et b esse quanti numeros.
+a
b
 -2ab
quia a semper est 1, nisi oia ol
l
17ab
ubi a et b se habent eodem modo
 seu D non esse oynisi arb sit 0
aFb+ C = Rab ∞a
et pua prib
i omt
2
iba (+ Oosito, a posse esse majorem
pro bascribi poset a
ounia o
5
qui valeant, vel o vel 1 erit
a +b = Cab
Iem a+b
b
+ c
debet addi C ad 1bD, pt tipt
a c+ ab et hoc sit lex
ut si turae sit una sit 0, ea sit a
si duae eae sint a et b
et fiet c + b - a = cl Cbc
+ C106  Zu
ca ataenac
+
jamc-a + , ubi cum cb ut  non possit esse nunor
e
quam alum caetba scribemus frest e
di Ergo denique
Abi+
eba Lba
e
+ cub (+ Cnt ud po
+Caban
 ba l. ta.
pro cb + ea scribi potest bta
adc
b btub
a- al-a
eema1aaja
ter ta Ergo adc
bais
addi debet e, et fiet
db
da
debent in unum addi eb +ca ba
itaque a+b = 4)-a
+aa  eid faL aIa
cb = ca +ba =F, F cba
e
cb
st
d- c+b- a
e
Nam
(=2L1
(1= 4 -2 - 1
e et +dc- db + da
1b a+ brc = b YCY
+
1= 8- 4 - 2 -1
=b 1= 16 ∞-4-2.
+C
addatur jam d, ad a+b _, fiet debent in unum addi 1a- b + C et d
est
1.
sed a - b +c addi debet ad b fit a ( b) + c (+b) sed a + b = a ( = a + c
ergo a + b+ c+d = a =a+c  = a + b = c + d
addatur e, ad -a + b = C+d, fiet 
addatur in unum =ad b. a ibC d+d a +C cta et - a + b - c+d
fiat a tbc ad -a +c (+ a) c( a) +b - c +d
seu = a  + b +d seu = a +b
= b +d
Addatur inumi in otia columna -a +b et a fiet b.
Ergo atbtetote = b- b)- b
1d
l
+a
8
b
te
ri