(.1) 



qiKirto fiint nlhita, vbi ergo iteriim commode vfu Tcnit vt fit 

 /Pap = /tang.(4-5°-f-^^). 



ORDO XII. \ 



TheorcmatLim ex hac forma principali dedudorum: 



rdx coC p l X 

 J ~x ' x^ 



X 



ab A- zz: o 

 ;ld A" ~ I 



Quod fi ergo (lntuamus 

 /\~x''-\-x~'' et P irr 







2 « (^-"~ H- e 2^ ) 

 eadcm plane Theoremata hinc oriuntur, quae fupra pro cafu 

 feptimo funt allata. Hic autem iterum notalfe iuuabit integrale 

 f? d p reuera exhiberi poffe. Cum enim fit 



/?dp=f ^ , 



2 n ( f 2 1 —1- ^ a Ji ^ 



ponatur "^ ~ z , eritque 



f?dp= f-J^ =fS^'' 



■ e " J e^^ -\- 1 

 Sit porro e'^ m i', erit 5 i; — ^* 3 s, hincque fiet 



/P3p=/r:^. = Atang.^,- 

 quare retro fubftituendo habebimus 



■np 



f?dp=:Atang.e~^. 



Denique adhuc referamus formulas illas integrales, iii quarum 

 denominatore erat i — ^.v^'', quas quidem iam olim breuiter 

 tetigi, nunc autem vberius euoluam. 



C 3 



OR- 



