( ) 
Ordo formandi coefficienres ipforum h,_c, e, ^c. 
in his valoribuSj per fe eil fatis tnanifeftus. 
Demonftratio. Quoniam per x ^ z, defignantur termini 
correfpondentes progrefTionum Arithmericarum i, x, 3,4, 
^c. tk a, a-\- a ~\~ zn, a ^n, (^c. indicabit — i 
numerum differentiarum qui in ^ cominetur, uc fic 
Z — A 
z~ aA- X — in. Hinc fit x — i = ■, — 2, r=: 
' n 
z *'■— n ■ A Zt — — X n — A c* A • j • 
— — , X — 3 = , vse. Subuituendo ica- 
n ^ n 
que hos valores x — i, — x, x — 3, ^c. in Serie 
Lemmatis prsecedentis, & terminis in ordinem redadtis, 
prodeunt ipforum A, B, C, valores exhibici. 
Cor, Vhi d=z n, prodeunt A, B, C, D, ^c, per for* 
mulas fimpltciores, nempe 
M 
— h-Yc — 
d A- e ^c. 
Bz= 
1 
n 
X ■“ X c 
3 — 4 ^ ^c. 
C = 
I 
X — X f - 
^ id ~Y 6 e &c. 
n 
X n 
I 
I I 
X d -Y 
Dz=z 
X X — 
n 
xn 3 z? 
Lemma 5. 
Symbolis X &C. x eodem modo interpretatis^c in '^Lem-' 
mate p imo, Tint r, s, t, u, (Al'c. generatores Triangu- 
]i 'Arithrnetici cujus Imeam tranCverfam, occupat Series 
Al, in ordine nempeinverlb, utfit^frri: M) 
gencrato uicimus, r penultimus, / antepenukimus, & 
fic porro. Tumeric 
^ , AT — I , X — I x‘, X — I X jr-pr 
X—q-\-rx \-sx ^X— r^X- x— x— 1— 
^ I X 1x3 
-1- &c. 
Conkac 
