2^1 



fin n (90 — m) zzzcosnm 

 sin (n — 2) (90 — m) =: — cos{n — 2) m 

 sin (n — 4) (90 — m) zn cos (n — 4) m 

 . sitï (n — 6) (90 — m) = — cos (n — 6) w 

 etc. 

 unde demnm concluditnr fore 



^L-lii-rl? :::=--l[,i''-'cos«m-n (rt^2r"'cos(n-2)m 

 H- n^ (n — 4)""* cos (n — 4) w — etc.] 

 et îiinc per triplicem ditTerentiationetn 



"^^ =-i[«""^'sin«m-n^(«-2r-^'sin(n-2)m 

 -f- n^(ii — 4)"'^'sin(n — 4) m — etc.] 



IL Pro altéra quantitate. 



Miiltîplicata aeqnatione supra adhibita 



s^cos" X i^ cos H r -f- n cos (/i — -r 2) a; -J- n cos (n — 4) -** "+" ®^^ 

 per 2 . sin x, obtinebitnr 



s""*" ' cos"x sin X rr: [sin (» -^ 1 ) 3^ — sin (n — 1 ) r] 

 -\-n [sin (n — 1 ) x — sin (n — 3) x] 

 + n^[sin (tt — 3)x — sin (n — 5) x] 

 -j- etc. 

 tinde saepius differentijndo et, nti pro prima parte factiim 

 erat, non nisi casum primiim, qno » zz: 2 (2 p-f- 1), adhi- 

 bendo, id qiiod ad expressionem ^eneralem elieiendain 

 Buflicit, facile habcbitur 



