c3S 



et hinc aeqnationes conditionum : 



A(i -Ha=)==a(i -4-B) 

 B (l H- a=) zn a (A -f- C) 

 C(i +a^)^a(B-HD) 

 etc. 

 ubi facile vidcmiis , his aequationibus satisfieri , poncndo 

 A zn a. 



B = a^ " ^ 



C — a} 



et nnde tandem concluditur fore: 



, "" "" — zz. afsinw — asin 2ûj-i-a'sin 3 u— a'sinAw-fCtc.J. 

 Ciim aiitem prima aequationiim (I) sit : 



) — nos (1) /i — co^ e\ ,\ -\- £v 



I -~- cos 0) M -)- co; e' \i — i^ 



eiit, cruto valore qiiantitatis cos e , 



COS e rz -—^ — et hinc sine n: ; , 



vel cum e := 



I a 



„ ( I -h a^) s;n m 



I -4- a- -f- I a cos w 



Substituto proinde valoïc iiivento quantitatis .; 



s;i w 

 1 -t- a^ -t- ï a cos w '* 



habebitur : 



sin c -— {\ •- — a") (sin w — a sin 2 w -4- a} sin 3a)— etc.). 

 StibstiUilis Hf nique A'aloiibiis qnanlitatum & et sine in ae- 

 qualione m -:--€ — e sin c, oblinebilur 



