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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 4r, page id 00068010:0007
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etiam ad majus minurque pertinens,
nempe ut a, b, f, etc. sint hoc locoquan-
titates positiva necessania est, alioqui
si frat a + b = m non sequitur m eose
majus quam a vel b, ant haic erse par-
tes ipsous m, et si sint membra formu-
lae aqualis ipsi m; nam fieri potert,
ut b suerli gratia) sit revera quanti-
tas negativa aequalis ipsi = d
porito d esse positinam et tunc
a existente positiua pro a + b = m,
fieret a - d = m unde patet a fore
majus quam m, tantum abert, ut pos
sit erse ejum pars
(27). Eteor. Pars est minor toto, vel to-
tum est majus sua parte.
Sit a + b = f, erit a minus quam
f. Nam a aequale est ipri a (per 3)
jam quod aequale ipri a est minus
quam a + b seu quan f. (per 26). Crga
a est minus quam f. 4. c: D
suno, vel ae
(28) Defin. Honogenea  conpa-
sunt,
rabilia quorum uniuc quantitas
ab alterius couantitate semel aut
sapius subtrali potest, ut subtra
ctum relinquat nitie aut aliquid
se minus.
tanc
29) Escor. Duo homogenea cunt aequalia,
si alterum altero nec minus sit nec
majus.
(ex hypoth.)
Nam homogenea sunt, (ergo (per 24)
quantitas unins eorum ab alterius
quantitate semel sbtracta aut reliu-
quit nihil, quo facto erunt aequalia
per u) aut relinqurit aliquid
Se rursus minus vel majus) et id et tunc partiejus a quo subtractio
cujs quantita subtrabitur est  facta est, aequale erit, ad (vid. 11.) adeoque
(per 26) erit minus. LE.D.
monuc (per 26) . E. d.
(30) Heor.