$. _W." Quoniam denominator duobus conftat faetoribus, 

 pro priore formula ftatuamus 



(uu — i ) ( uu sm &2 _j_ cos 52 ) _„ _ j ' __ s;n 3- 2 -t- cos S 1 " ' 



ac reperietur F — — —?_ — , pofito uu — 1 = o , ficque erit 



■L MU sm_- 2 -t- COS „ 2 )' * _ 



F=i ; tum vero reperitur G =— _-, pofito i_„s_n 9-* n-cos 9- 2 =o, 



five uusinS- 2 — — cos9- 2 , unde fit G=eos3- 2 . Hinc t> in has 

 duas formulas resolvitur: 



|> __— sinSV 2 /-__._ sinS- /2 /_ __________ 



' J uu — 1 ' Juusin^-\-cos _ 2 



Eft vero /'-__- = */_-_- z t et 



f^i^l»~lk Atan §^lT' ^ uam obrem habebimus 

 |> _-__ '«_. Z-r-__ _ y/ 2 cosS 2 A tang ___*. 



Quod fi jam hic loco u fcribamus valorem Yrzr > €rlt 



I» = — !*£ 7^____&____i — cosS-V* A tang _4^__S7 

 cujns confenfus cum integralibus fupra exhibitis facile per- 

 fpicitur. 



$. 22. Simili modo pro % ftatuamus i_*$_i 



I __F_ , _ __G ' 



i-uu — X) (uu sin S- ■-+- cos _ 2 ) " uu — I "~^ __ _n 3- 2 -l-cosS> 2 ' 



eritque F = — ._-I _-, pofito uu ~ 1 = 0, sive u = 1, unde ergo 



1 _ _ S27T S 2 -. COSS» 2 ' -^ . ■ 



prodit F = i. Deindeerit G = — - —5 pofito i.u = — — _. 9 id ~ 



- iiu — X sm •* 



eoque G = — sinS- 2 ; ficque formula pro 3 inventa in has 

 partes refolvitur : 



^ = — cos3- /2 /_!__-+- cos 3 1/2 /___-____. Vidimus au- 



. ^ uu — I ' J „„ sz?i_ 2 -t- cox S- 2 



tem efse/_- tt _ = |.__r_?, hic vero erit /____i|-f o7 - • ._== 



J uu— 1 2 „ + r 7 - _„ sin d 2 — cos -* 



sinS- Atanglg*-*, ficque habebimus 



_V=— _^__Z___J -f-sinS cosSV^ Atang"-^. 

 Ac fi hic iterum loco u fcribamus valorem ff j_*- erit 

 3 = - -il z£__^-^__I+sinS- cosB- Y 2 AtanV-^-^7 



$. 23. 



