TRICONOMETRIA SFEROIDICA. 



l39 



2.4-6 L a 8 a. 4 8.io a. 4.6 8.10.1a J. 



ec. 

 Similmente 



H'=iD'\Mrr-H- . ^D'D'^-t- ^ . ^ D^D'^H- 1:^7 . 3^5^0*0'*^- ec 1 

 a L a 4 a.4 4.6 a.4.6 4.6.8 J 



H"=i D'^mFi-^-? . f D'D''-i-^ . ^D^D'-'h-^::^ . i:Z!2.D«D"-Hec 1 

 4 Lab a.4 6.8 a.4.6 6.8.10 "J 



H"'=^D'*Mri-t-^ . ZD'D''^^ . -Id D^D'^-t-M_7 . 7-9»ri p.^'^ eel 

 6 L a 8 a.4 8.10 a.4.6 8.io.ia J 



ec. 



risultera la formola (4) 



[G — 3 G' cos u* -+- 5 G" cos u'* — 7 G"' cos u* -h ec. 

 H' 3 H" 3. .5 H'" 



dP=du. 



cos V 



ec. 



a cosy* a.4 cos 0* 



ma abbiamo gia esposto sopra ( §. 17.) 1' integrale 

 fd jy.cos i/^° ; e si ha in oltre generalmente 



/"* d u tang u r i 



Dunque supponendo 



an — a 



an — a an — 4 



an— 3 cos i/='°-4 an— 3 ' an— 5 ' cosy""-^ 



an 



— a an — 4 ^n — 6 

 ail — 3 an — 5 an — 7 



cosu 



an-8 



ec 



] 



S 



G — ^ G' -♦- ^ C" — ^-^7 G'" 



a a.4 a.4.6 



ec. 



s:=G-g 



a I 



S=G--g 



