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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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LOM DLH ALLOA1S.
Prima methodus.
Summa cellutatum guarrae Periei, sexei erianguli, Caristacie, ex prae
cect. nempe cellula D + F Y F.
TLoc est numeri, + Y 4 Y 1O, Scu 15. Freo 4 in 6, combinatur 15
modis.
Secunda methodus.
Cellula quinta, ba(IS Seprima K, Paristacie, it numeri, 5, 7, sunt
proxime majores his, 4,6.
Fcenim illa cellula nempe R, Peu 15 xequarur summae cellularum
quariae seriei seti erianguli D + F. Y F, ex generarione.
Monitum.
In Bali sema tanc seplem cellule nempe, V, 9, K, P, E, H, 8
ex quibus grinta allumenda est; Porest aurem ip sa duplici modo a(-
Tumi. Cune enim dux balis exeremicares V, 5, s ergo ab exrremo, V
inchoaueris, crie, V prima,  secunda, R cerria, p quarra, E quinta
quaesica. Si rero a s incipias, erir s prima, N sccunda, E terria, p
gnarra, K quinca quaelica, lunt isitur dux quae portune dici, quintae;
Sed quoniam ip(a luneaeque ab extremis remorx, ideoque reciproca,
sune ip(ae eaedem, quare indifferenter astumi alcerurra porest, de ab al-
cerurra balis exrremirare inchoari.
Monitum.
Tin aparee, quam bense conneniane combinationes se crianoulus
aichmericus, ex ideo, proporriones inter series, aur incer cellulas rrian-
suli obseruaras, ad combinationum rationes prorendi, vein sequenti-
bus videre est.
Prop.
Duo quilibet numeri, xque combinantur in eo quod am-
borum aggregacum elt.
Sine duo numeri quilibet, 2. 4, quorum aggresatum 6 Dico, nu-
merum 2 cories combinari in 6, quories ipse 4 in eodem 6 combina-
EuT, nempe sinculos modis 15.
Tloc nihil aliud est quam consect. 4. triane. arith. ex potest hoc vne
verbo demonstrari, cellulae enim reciproca lune caedem. Si vero am-
pliori demonstratione esere videarur, haec satisfacret.
Mulcirudo combinationum numeri 2 in 6 xequarur ex s lem. Periei
Secunda criangulisextinempe celtulis e Y + Y B Y R F 5, Seu cellulae