Sowditch on the Oblateness of the Earth, 



37 



y 



tr 

 ^ 



to (A) of the preceding calculation is 



tions (A^^) correspondini 



as follows, the length of the pendulum at Paris heing put 



i- 



1 



places 



Peru 



Poito-Bellt) 



Pondiclieiiy 



Jamaica 



Petit-Goavc 



Cape of G. Hope 



Toulouse 



Vienna 



Paris 



Gotlia 



London 



Petcrsburgh 



Arensburg 



Ponoi 



Lapland 



Latitudes 





0.00 

 10.61 

 13.25 



20.00 

 2a50 



3r.69 



48.44 



53.5 



i 



i 



54.26 



56.65 



57.20, 

 64.72 



m 



66.60 

 74.22 

 74.53 



0.99669 

 0.99689 

 0.99710 

 0.99745 

 0.99728 



0.99877 

 0.99950 

 0.9998? 

 1.00000 

 1.00006 

 1.00018 



1.00074 

 1.00101 



I 



1.00148 



« 



» 



n'. 



.W 



/w 



» 



« 



« 



a 



« 



y . 0,00000 

 y . 0,02752 



y , 0,57624 

 y . 0,01244 



. 0,72307 



y 



y . 0,74907 



1.00137 — X — t^ . 0,84478 



a — 7/. 0,84 829 





y . 0,04270 = x(3) 

 y . 0,09549 = x{4,) 

 y . 0,1001 6 =:x(5) 



y . 0,31142 = X(6) 



Xi.7) 



(S) 



7/ . 0,47551 

 y . 0,55596 



y . 0,56672 = a:(9} 



x(ll) 

 .r(l2) 



a< 1 3) 



0^(14) 



xi 1 5) 



(A") 



The sum of all these equations divided by the number of observa- 

 tions i5j gives the following equation corresponding to(B) 



) we obtain the 







0.9992 



y. 0,43529 



By subtracting t 

 following system 



ceding method 



from each of the equations (A") we 

 equation (O") corresponding to (0) of the pre 



0,00254 +t/ . 0,43529 = arCl) 

 0,00234 + y . 0,40777 = 5c(2) 



* 



0,00213 + ?/ . 0,39259 = a:C3) 

 0,00178 + y . 0,33980 = x(4) 



0,00195 + 2/ . 0,33513 = jc(5) 



0,00046 + y . 0,12387 =a(6) 



6 



t- 



V 



\ 



^ 



