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# Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605)
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D F LA t P R O R V N
TA COHTTNrORYM RESOEVERE
S E V
Relolurio numerorum qui ex numeris progrelsio-
ne naturali procedencibus producuntur.
Problema.
Ac Ghoculsdenumero, invenire tor quor impera-
hu uletes continuos ex quorum mulciplicatio.
nefactus numerus, scmaximus eius speciei qui in dato
numero concineatur.
Oporcet aurem datum numerum non esse minorem pro-
ducto coridem numerorum ab rnicare conrinuorum.
Datus sit numerus verbi gratia 4335. Oporteatque
reperire verbi gratia quatuor numeros continuos ex quo-
rum multiplicatione factus numerus sit maximus qui in
dato 4335 contineatur, eorum omnium qui producuntur
ex mulciplicatione quacuor numerorum continuorum.
Sumantur ab onitate tot numeri continui quot sunt nu-
meri inveniendi, nempe quacuor in hoc exemplo, I, 2.
3, 4, quorum per productum, 2.4, dividatur numerus
datus sitque quotiens, 180. Ipsius quocientis inveniatur
radix ordinis numerici non quidem quarri sed sequentis
nempe quinei sitque ea, 6. Ipse. 6, est primus numerus,
Secundus 7, tereius 8, quartus 9.
Dico iraque productum quatuor numerOruM, 6, 7, 8,9, esle maxi-
num numerum qui in daro contineatur, id est. Dico productum qua-
tuor numerorum, 6, 7, 8,9, nempe 3024, non esfemajorem quam nu-
merum darum, 4335; productum rero quatuor proxime majorum nu-
MCTOTU, 7, 8,9, 10, nempe, 5040, elle majorem numero dato, 4335.
Erenim, ex demonstraris in cractaru de ordinibus numericis, constat
productum numerorum, 1, 2, 3, 4, seu 24, ductum in numerum quinei
ordinis cuius radix ett, 6, nempe, 126, efficere numerum xqualem pro-
ducto numerorum, 6, 7, 8,9, nempe, 3024. Similicer, ec eundem pro-
ductum numerorum, 3, 2, 3, 4, nempe, 24, ductum in numerum eiul-
dero
PRODI