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# Title: Aufzeichnungen von Leibniz zur Rechenmaschine (shelfmark LH XLII,5)
# Folio [69]v, page id 00066559:0134
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 sive sppunantur
Merricentur jam, Rotae Multiplicandae Rotis atdditonis
aut  uttima ultimae, penultima penultimae, antepenultima
integenustimae, seu seu 5. et 1. item. 6. et 10. item 3. et 100
respondeant.
In ipsa autem listula Addi
tionis numerus positus, per foraminula eminens sit 0. 0. 0.
ete seu nil nisi dero
Hac applicatione facta, si 365. multiplicari supponan
ur per unitatem, circumagantur Rotae: 3. 6. 5. seme
et dentes earum nunc eminentes, totidem dentes immobiles in
Rotis 100. 10. 1. circumagent, proinde, numerus 305. trans-
feretur in Cistulam additionis.
ed ponatur Numerus 365. multiplicandus per Lumerum
quemcunqu 124) multiplicantem. Opus nunc est tertio Rota
num genere seu Rotis Multiplicantibus. Hae Rotae
sunto novem. Et ut Rotae maltiplicandae sunt variabites ita
ut eadem diverso tempore modo unitatem, modo novenarium
nepraesentare possit, prout plures pauciorés ve dentes eminent;
a contra Rotae multisolicantes sunt ad certam cyphram deter-
inatae, alia ad novenarium, aliae ad unitatem etc.
ed
Hoc ita fiet: Rota quaelibet Multiplicans cum Trochlea
odam exigua, quae Notae multiplicandae ad multiplicantem
espondenti implantata est, chorda quadam aut catena
comnunicet. Quo facto rota multisolicans tot cxparas re-
agentabit, quot vicibus trochleam respomentem contineti
otiu, enim continet Trochleam circumagit, ipsa licet
cirumecta tantum semel. Ulude si Rotae diameterquater
ametrum Trochlea contineat, tota restraesentabit 4.
finc circumacta semel rota multiplicante, cui
espondet Trochlea quantam ejus partem continens, Troch.
linterea quater circumagetur et cum ea rota quoque
multiplicanda cui Trochlea implantata est Rota autem
multiolicanda quater circumacta ejus dentes quoque quater 
Q tam additionis respondentem redibunt ac proinde numerus
unidatum ejus toties incistula additionis repetetur
Exemplo proposito res clarissime apparebit:
DG5. multiplicanda sunt per 124. ac primum totum 365.
multiplicandum est primum per 4. Circumagatur manu
semel rota multiplicans 4. eodemque tempore circumagetur
sochlea respondens (quippe toties minor) et cum ea
 quoque 5. cui ea trochlea implantata est, quater
aetiplicane
ircumasetur. Cumque Rota 5. dentes quogeminentes
abeat 5. Qualibet circumactione dentes quoque s
otae additionis respondentis 1. circumaget, atque proinde
 in cistula Additionis Unitates quoque producet
quater quinque seu 20 unitates
Rota Multiplicanda O. orta multiplicandae
5 alia horda sive catena connexa est et rata
multiplicanda 3 rotae multiplicandae 6. Ergo cum
sint aequales, quando Rota S. circumagetur quater, eodem
tempore Rota 6. equater circumacta dabit 24. decades
oq
inipingit enim in totam additionis decadicam 10) Et Rota
3. impingens in rotam additionis 100) centurias duodenno
od eurque in summa 1460
(unaantem circumacta circumagentur omne
quia aequales chordisque connexae sum
ut clarius infra patebit