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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 12r, page id 00068010:0023
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(17) Nemel a est a, seu ta = a vel unitas
nex multiplicat
(18) abc = a c b  Nam abc = abc (per 3)
Ergo jan be = cb (per 15) Ergo Cer C Ergo in poste-
riore abc pro bc substituendo  aequalem cb (per 15)
substituendo (per 2) fit abc = acb. _ Z. E. d.
idemque est in caeteris transpositionibus, pluribus que
etiam invicem ductis
(19)  abe = ab, c. significat enim abc
primum a maltiplicari per b et productum per c
(20)  ab, c = a, bc. seu idem fit multi-
plisando a per fuctum ex b in C, quod sit multiplicando
ultiplie pen
ab, C = abc (per 19) = (per 18) bca
= (per 19) bc, a = (per 15) a, bc g.E. d.
 idem est decaeteris combinationibus quae fiers
possibilibus pssunt quibus cunque in productis ex quodcunque
(21)   etals
Unitas non multiplicat 1a = a, id est semel
(22)  a a multipl. per  m + n
a est a
a  epli designatur  a mtn vel a, mtn
vel a (m + n) idem est in pluribus
(23) a (m + 2)  am + an, idem est in pluribus
seu si quantitas alicatur in totum ducenda est in
la
(24) Si quantitas plurimembris ducatur in
quamvis partem.
aliam plurimembrem factum erit summa binionum
omnium possibilium, quae fiunt nembrum quantitatis
unius ducendo in membrum alterius
a+b+C,  + m+n
aequ.
ab nam  an
bl + bm + bn rn
(251. s tres quantitates plurimembres invicem
cl + em F Cn.
ducantur factum erit summa omnium ternionum
possibiliueto, quarum quaevis erit  factum ex tribus
plurimenbres invicem dicuntur sactumerit summa
trium quantitatum, membri
quaternionum.
dig
a
sumer 
Et ita ponre ex nummis dembrorum
FM
a+b+C _l+mtn, 
23 aequ.
+l
tans pant.
bl5 +blF +bns +b mt  Ans
C15 +clE tens remt
ont
ns +ent. 
x (26) Isd. positis numerus combinationum factum
 in 3 in 2 dat 18.
constituentium  semper aequater u ex factis
dem est qui resset si membraeia essent
ue
ett a
2 sed
In eadem conbinatio rediret tantum repeteretur in producto
i
. Hame
aequalia inter se, tun
toties qu quot in facto, ex tribus Membrorum numeris
sunt unitates. Sic si pro arb poneretur ata+ a
et pro lmta
E+C+ l. et pro s+ t poneretur 5+5,
2
fieret a+ata, (tUtL, 5+5 = 32, 3l, 25 =
poneretur
3,3, 8, a (per 18718) 3. 3.2, als = 18als
in quatuor quamitates
mbina
producto ex num ss membiorum