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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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COMBTHATIONS
 in 3 combinatur + combinarione.
Ec lic generalirer omnis numerus semel rancum in xqua.
li combinatur.
Lemma 3.
2 in r combinaeur, L combinatione
 in 2 combinacur 2 combinacionibus
 in 3 combinatur 3 combinacionibus.
FF generaliter rnitas in quonis numero cories combina.
tur quories ipse continet rnitatem.
Lemma 4.
Si sine quaruor numeri, primus ad libitum, secundus vii-
care major quam primus, cerrius ad libitum modo non
Ec minor secundo, quarcus rnitare major quam cerrius;
mulcicudo combinacionum primi in cerrio, plusmulei.
cudine combinationum secundiincerrio, aquatur mul.
cirudini combinationum secundi in quarto.
Sine quaruor numeri ve dictum est.
Primus ad libicum verbi graria
Secundus rhitare major nempe
Terrius ad libicum modo non
AE minor quam secundus V. 9.
Ouarrus rnirace major quam cerrius nempe 4
Dico multicudinem combinationum, Z, in 3, plus mulcieudine com-
binacionum, 2, in 3. x quari mulcicudini combinarionum, 2, in 4. Quod
ve paradiemate fiat euidentius.
ANTUMaNEUE Eres Characteres nempe, B, C, D, jaM verO aNTUMANEUE
iidem eres characteres de vnuspraecerea, A, B, C, D; Deinde aluman-
cur combinariones vnius lictera in tribus, B, C; D, nemDe, B, C, D;
Allumantur quoque omnes combinationes auarum liccerarum in tri-
bus B, C, D, nempe, BC, BD, CD; Denigue ANTIIAMEUE OmneS
combinationes duarum licreraruM in quaruOr, A, B, C, D, nempe,
AB, AC, AD, BC, BD, CD.
Dicoicaque, cor esse combinariones duarum liererarum in quatuor
A, B, C, D, quorlune duarum in eribus B, C, D, X in luper quor vnius
in tribus B, C, I.
Hoc manifestum est ex generarione combinarionum, combinario-
nes enim duarum in quatuor Formancur parcim, ex combinarionibus
duarum in tribus, parcim, ex combinarionibus vnius in tribus; quod
ica cuidens Aer.