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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 13
# Folio 19r, page id 00068010:0037
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calculus per divisiene loco multiplicationum x loco ac
2g. octob. 1675. observatio venit in mentem, qua possitit omnia reduci ad meres terminos simplices continuaru
divisionum cum contra rdncere soleamus omnia ad terminos continuarum multiplicationum.
At-
X. reducamus. multiplicentur omnes termini d fl. fiet: Slbfl + cdl + cgl +icflX
Rursus multiplicetur producta aequatio per beh, fier:
b 11
e
t
a eflh + bcdhl + bcegl p bc efhl X pria autem expressio aptior ad
ed quideo id ineptum esse, si hoc modo explicetur,  in
itaque sic explicabimus quasi esset:
tribus, nm in rei veritute
a
ca
b
a
constructiones lineares
ipsum C. dividere ipsam a. tunc enim
 nam et continuari posset hoc modo (. sed sufficiet nos uti his
C
et vero statim reduci potest ut
exprimendo evitaremque omnes multiplicationes, sivi sic diceremus
a
e idem
d
a
est
quod
sive sic
a
C
a
Bc
ac Intemm hoc modo
bd
a quorum illud
e
ac
6
a
hrc
venim Jam rinc ostendis natua rerum non divisionem sed multiplicationem eise reglem, quia aptrorem, quia
ae nituraliore
e
in ipsa nullae lineolae necessariae ad exprimendam variesolem. Iuterum leges calculi hujumodi tradi possere
nempe si Ex velimus educere ad meras divisiones, non poterimus aliter quam scribendo sic:
sed videndum quid si in compositis sive compichensionibus, ut
u
b+
C
2
aba
a
sic
4
bc e
e
b =C FH. tunc vero apparet in commodita
divisionis fiet eum b+CH . sed non potest a reduci ad terminos simplices, nisi  infinitos; nec
b-C
b-C
sso fieu nominator simplex, quemadmodum numerutor