wrr?H-+-!S! 



845 



^ n"""' sinnm — 1 (n— 2)''~'sin(;i — 2)m 



1.2 3 . . n. 



'" / -+-——(« — 4)" 'sin(n— 4)m — etc 



s'\vi II m -H- [s in («.H- i)w — sin(/î — 0'"] 



"'^-,[(nH-3)^sin(/î-4-3)m- 3 (/i-M)^sin(/i-+-i)m 



^la-i ■ ,",'-:[('i-H2")sin(/i-f-2)fn-2/îsin»mH-(/2-2)sin(tt-2)m] 



-4- 



I . a . 3 



-h 3(n— i)*sin(n— i)»i— (u— 3)^sin(/i— 3)m] 

 nbi « r:r i, 2, 3 etc. 



qnae est nostra seiies q^iiaesita^ 



E X e m p l u m, 



Qnaeratnr terminus sériel praecedentis , qui non nisr 

 tertias excentricitatis potestates continet. 



Ad hune terminum inveniendum,, qua'erendi sunt facto^- 

 res quantitatum e^ae^a^c,, a' unde- 



prima pais seiiei; dabit pip» 



n m^ 3 . . . 'J (3 sin 3 m- — sin m)' 

 altéra; pars pro nzn i . . . 2a[sinw-f-g (3sin3m— sinw)}: 

 n ru 2 . . . a^e (sin 3 m — sin m), 

 nzizS ... — sin 3m. 



3 



CuTn autem a.=i:-|--f-^ -f- etc. summa' quantitatum praC" 

 ccdentUim. erit ;■ 



*g (3sin3 w— sinw)-+-£'(i-f--)(sinm-f-^^(3sjn 3m — sinm)) 

 -f - (sin 3 m — sin m), h- y^^sin 3 m 



