TllICONOMETRIA SFEROIDICA . I4I 



P=g(u — J) — A(senat; — senau')-<-B{sen4u — sen^u') — C(sen(^ — senGu'j-t-ec. 



— li(tu — ti>')-H Ji ( j) h I -) 



a \cosu coS(/' / 2.4 Vcosu* cos/ / 



1.3.5 , ,v / t u t y \ ,,. 



-H . h'' I -I — ec...(6) 



a. 4. 6 Vcosi/' cos/7 ^ ' 



20. L' altra formola (§ 2.3) esprimente il valore 

 di «i w s' iiitegrera egualmente riducendo in serie la 



qiiantita 



v/(i -hD^cos.'')^!^--^^ 



\ COS u f 



Onde facendo per brevita. 

 DD' 



N = 



ii'sen p cos p cos ij' y/(i n-a^'senp') (i -t-A'cosp^cosi/'") 

 = v/ ( I — D" tang p' ) ( I — D'^ cot p" ) 



^2.' a. 4'' a.4.6'' 



F'= I -t- (1)' - D'D'^-H f il'V • - D' JD'^ -t- (ll^)' . Z D^ D'^-4- ec. 

 a ^a^ 4 • ^a.4^ ^2.4.6^ 8 



a.4 ^a'' 4.6 ^a.4^ 6.8 V4.6'' 8.10 



a.4.6 ^a^ 4.0.8 ^a.4'' 6.8.10 ^a.4.6^ 8.10.1a 



ec. 

 risultera 



fF — F'D'co3^'-t-F"D'cost;''— F"'t)'cosi.*-Hec 

 J N d y sen p I 



senp -Hcosp COS'/ — _t- ^ ^ '^ -t- ec. 



(^ COaw^ cos I'* COS u* 



T. I. 25 



