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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5
# Folio 36v, page id 00068255:0072
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Inpesuamus C
Operae itaque pretium erit, etiam regulam additionis
nihil producere, cam scilicet duo trantum numeri in unum
adduntur sed nei tuuta addendus non minus quam recipiens
est plurium notarum. Sed incipiamus ab una nota et pergamus
ad plures
ell
ta
elpe  e
Itaque si ad d scb sa oportoet addere, psasnst
fiat A = I a + b a +, l  - 2 al
labe tab
=rbatio - Ehabe
es
put aute
Tab
Elabe
+ ns
2
a
l.Elabi
laia 
B = b + al = 2 abL C = c + abl - 2alC
et D = d + Abct - 2 abcd. Et ita porro.
(B) = B + m - 2m (C) - E+ Bm- 2BCm
D) = D + Dem = 2BCOm
fiet
D= et Dedm - Bedem et ita porro
Rursus (C) = (C) + (B)n = 2 (B) (C)n (DD = (D) + (B) (C) n - 2 (B) C) (D) n
(E)) = E + (3) (c)(D) n = 2 (B) (C) (D) (E)n, et ita pomr
Et (D) = (1) + (C)) p - 2(C)(DDP
Et ita porrr et fiet
(E)) = (ED + (C (D (~)p - (1) (DN (CB)
ila
subtrection
generalem
ut 2
a + l- 24l
al+ β3 - Eae pl
aPl  2aBpC
c
lub ipsis Gt al+ B 3L al. P. C =
Wapt ( y 2 C apt. ). D1= E
nam pe in notis eyadicis, ubi qua-
deatum lateri aeqquatur patet quadra
tum disferentiae esse jam differentiam
Y- diff. 1. a (= diff 1. b VE diss. 1oc,
A = dis t - dl(ab. ad. 1) B = diss al. B a d ( (1. 2)1; a1. 6)
C = dist aPl. V = d (t (1a) a (1. b]; dl. e))
(B)diff B. m = d (d (Ld p. a) id 1. b)) im)
Et ita in raliquis
subtiarere podet 
c
Aha11X a. 1. B) tra
et
bilat
(B)
FBEdE
in
1-C
C)
+2c, 196 fa M +2(0)
E)C
 s
m 1. a n (.  X
X =
l
- T+ 2 al = 1 - A
y=
Z= 1 - (C) - n + 2 (C) n = 1 - (C)
C0 = 1 = (D) - p - 2 (D) p -
esc
= B - m F2B12 = 1- ((3)
a 1- a. (1= 1- b
B = B al + B 2 _pL C uati
C)C+Bm= Bem (6). Dm- 1BCD
=C 2 (9EC) ad
ete