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# Title: Leibniz-Handschriften Aufzeichnungen zur Rechenmaschine LH 42, 5
# Folio 2v, page id 00051018:0004
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vulgarem
vrenm nestra methodo
his consistit:  Hec non sunt nisi multipli-
catris paucae multiplicationes tot scificet quot
totius seu quat quotientes simplices
cyphrae quotientis. In communi vero ompmulto
rabiliter plures; tot scilile
umera in
quotientis multipticatae per cyphratumivisoris.
Ut in exemplo praecedenti methodo nostra  multiplica
toncs epet subtractiones) fuere tres. Quia quatiens divisor
totus 124. debuit multiplicari per singulas cyphras
quotientis, 365. quae sunt tres tres. At methodo
communi singulae cyphrae qu divisoris multiplicam
coubtra
tur per singulas quotientis, ac proinde multiplicationes im exemplo praesenti
sunt novem. Nec refert divisimes nostras
Multiplicationes nostras paucas esse grandes; item
posse se quoque Communi methodo fieri paucas
easque grandes, si integer divisor, per cyphiam
quamaibet quotientis multiplicetur. Sed manifesta
nostras grandem multiplicationesti
unan
esse tam facilem quam aliam quamlibet parvam,
responsio est 1
imio faciliorem
ac simplici
imo faciliorem. Fit enim subita unius rotae simplici
circumactione. At methodo communi quanto
major est multiplcatio tanto est difficilior,
et erpori obnoxim magis. Uende visum est Arithimeticae Magistris
potius multis parvis multiplicationibus quam
una grandi inter dividendum uti d
cumemni
Multiplicandi constituere mutiglicandum, seu
mutare pra re nata numerum dentrura mobilium rocarmultiplicandae rum
sed hoc loco inter dividendum  multiplicandus, nempedivisor manet
semper idem ulmutato tantum du multiplicanter
nempe quotiente
qua
I Quare quanto major
est divissor tanto magis conspicuam esse utilitatem
maximam Methodi nostrit.
Porro  quanti usus haec machina futura sit
satis patet, nam errorem molestiamque omnem
aut pene omnem a calculo ademisse, e magnae
est in eput publica pariter et literaria
um
utilitatis. Constat quanto applansu baculis
Neperiam sunt excepti at in his tamen horum
tamen usus communi non mutto calculandi ratione
neque celeror neque o facilior neque tutidu. Nam
ull
et multiplicatio qin multiplicatione ejus
perpetuis addifionibus opqus est. divisio autem
 nihilo commnni expeditior. At in nostra
vulgari.
dividendi multiplucandi labo, nult, dividendi
exiguus.
Cascaliana Machina fetrassimi
+et subtractiones
commun pluris sed parias
et quidem
+sine omni metu erroris
+licet exigni
ri
vaculi
+Numerorum.
 unde et in desuehsiet pere abiere