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# Title: Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus (shelfmarks Leibn. Marg. 84:1, Stück 1; Leibn. Marg. 84:1)
# Folio 137, page id 826603459:0183
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C. AP. 18.
De Mulriplicatione.
Tabella Contractior.
+
3
16
La
13 11a 1571C
6
16120 12412
1251301
13C
Ubi autem de simplicium numerorum muleiplicatione con- Numerorum
Rat, non eric difticilis ad compolicorum mulciplicationem composiiorum
Progreus, ue quae ex simplicium mulciplicarione lapius icera mulsiplicario.
ta tora deperiders uti inductione parebit.
Sic isicur numerus 342r duplandus, sre per numerum 2 2 bi multi-
mulciplicandus. Numero igicur mulciplicando 3422, Cub. plicator est
scribatur Mulciplicans 2, et (dueta lineola) cuilibet fgura numerus sim
numeri mulciplicandi, Cublcribatur ipsius duplum (quia nem- plex.
Demalciplicacor eAt 2) eodem semper gradu cum illo cujus est
duplum. Ita nempe duplum unius unicacis lunc unicates dux;
duxlum duarum decadum Cane decades qua-
tuor; dupluni quacuor cencuriarum Tune
cencuriae octo; duplum erium millium sUnE
millia Cex: qui quidem numeri in unam
Cummam collecti, nempe 6842, Tune corius
numeri mulciplicandi 392E duplum. Cum
 4L
684 L
enim omnes parces simul aequentur roti; crunt etiam omnes
parces bis lumpea, aequales cori bis lumpto; hoc ett, duplum
parcium omnium aequabicur duplo torius. Ouxe quidem de
monstracio (mutatis mucandis) de rriplo, quadruplo, quincu-
plo, dur quoris alio mulciplo paricer valebit.
Si rero, in hujulmodi processu numerus cujutris loci Ceu
pradus novenarium excedat, adeoq; non sic unica Agura expri
mendus;