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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
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(8) Explic. Signum + omni notae magni-
tudinis sine siono sumtae pretigi potert
aut pratixum intelligi. Sed initio
sape omitti solet, ita que a = + a et
a + b = + a + b. Hinc et + + a = + a
U ripenatur f= + a, fiet a- + a f
(ex hypoth.) = + f = + + a
9). Explic. +0 + a = a. Seu 0 est signum
nitili, quad nisil andit.
10) Teor. Si aqualibus addac a-
qualia, tiunt aequalia. Seu: si sit
a = B, et b = m erit a + b = l + m
Nam a + b = a + b (per 3) eitaque
in altero a + b, pro a ponendo
l(ex hyp. priore) et pro b ponea-
do m (1x hyp. posteriore) quod licet
(per 2 utique em a + b = a + b fiet
a + b = C+ m _. E. D.
(1) Ab a Subtritne B. Significat in magntudne inqua ponitur a, suncte aequalem ipsi b, eamque tolleri. Hnc si in
( Expbiont an a =0. eu
(signum denotans minus vel sub-
tractionem) significat id quod
quoad  qu sui
positum fuit urus
terroiam, etru
otam
u et
nitil. Ci quid aliua ad est resi.
duum appebatur.
12) Theor. Si ab aequalibus ante.
rar aqualia, residua sunt aequa-
lia. Seu: si sit a = l et b = m
eret a - b = l - m
Nam a - b = a - b (per 3) in
posteriore pro a ponatur l (et hyp. 1)
et p bponatur C (ex hyst. 2)
Ergo ex a- b = a - b fiet a - b = l - m
Q. E. D
(13) Thor. Si a quantitatibus duabus
anteras
dus indicatur
s scribendo: a - b vel + a - b.
magnitudine, in quo est a, nihil pliud esse ponatur
 intelligatur quam restat nihil
adeoque e ne
CO
Et
aa b  R- b seid ab = 26. Erro per 15 a =b
= vel ei aequale, seu uno verbo
q ejus quantitatem positam,