296 
NACHLASS. 
Hinc in formula art. 10 pro T, iit coefficiens ipsius A 
= 2 cos (i—a)+2cos2(i—«)-)-2cos3(i—a)-\- . . . -j- 2 cos m {t — a)) 
Simili modo iit 
sin-|-(i—a)sm£(t—c) sin 4-(i—d). .. = 
J 2*“ sin -J- (i — b) 
— —¿i (1+• 2 cos (i — 6)-f-2 cos 2 (i — 6)-|-2cos3(£ — 6) + .. .-j-2cosi»(f jT -b)) 
atque 
smi(b — a)smi{b — c)smi{b — d)... = — 
Hinc coefficiens ipsius B in formula pro T iit 
= ~ (1 + 2 cos (i — b) 2 cos 2 (t— b) 2 cos 3 [t — b) -f- ,.. -j- 2 cos m (t — b)) 
Prorsus similes erunt coefficientes ipsorum C, D etc,, unde tandem concluditur, 
fieri 
1 — — [A-\-B-\- C-J- D -f-, ..) 
~h [A cos a -f- jB cos b -f- C cos c -{-D cos d cos t 
H - — [A sin a -)--i? s i n ^ —[— C sin c -^-Dsind sin t 
+ [A cos 2 a -|- B cos 2 6-f- Ceos 2c-j-Hcos 2d-\- ...) cos 21 
+ ” [A sin 2 a -j- B sin 26-}-Csin2c-[--C sin 2 d -j-...) sin 2 t 
-f- etc. 
+ —{A cos ma-\-B cos mb -j- C cos mc -f- D cos 7nd 4-...) cos m t 
[A 1 
-f--(X sin m sin m6-j- Csin sin md-f-...) sinmi 
Quum haec formula cum 
a -j- oc' cos i-(- b sin t -J- acos 2 i -J- ^ "sin 2 i -)- etc. -j-a^cosmi-j-bHsin^f 
identica esse debeat, valores coefficientium a, a, 6', a", 6" etc. hinc protinus 
habentur. 
21. 
8i progressio pro X cum terminis cosmx et sium# non abrumpitur, sive 
in infinitum excurrat, sive finita sit, valor pro T in art. praec. inventus incom-