398 M. BESSEL OS THE ELLIPTIC SPHEROID OF REVOLUTION 



from the solution of which we obtain 



^=-0-60574; Weight = 28-064 



g= -0-0068280; „ =282-892. 



§. 4- . . . 



If we compare the several observed latitudes with this deter- 

 mination of j9 and g, we obtain the alterations required to make 

 them agree with the elliptic spheroid of revolution, to which the 

 found values of those quantities belong. 



^j = —0-624 x^ = —1-980 



a?/ = + 0-624 x^^ = + 1-338 



^/ = + 2-793 



x^ = -0-287 «'5^= + 1-432 



^ji = + 0-287 .t's'* = - 3-483 



a7p = —1-640 x^ = -2-623 



4^=- 1-837 ^6*=+ 2-623 

 a^g^ = + 3-929 



iTg^ = - 1-487 a:^ = + 0-349 



a;.J^ = - 0-029 Xy^ - - 0-349 

 a'3^= +3-672 



x^e _ _ 2-608 Tg = - 0-998 

 ^gi = - 1-472 



a?4 = + 4-069 x^^ = + 2-469 

 574' = +3-178 



X4' = -0-170 .^9 = - 2-321 



a?/ = — 1-190 Xg' = — 2-632 



x^'^=-6-S97 ^/=+ 1-834 



a?/ = - 1-249 Xo^ 4 2-646 



-9 



"4 — "T ^ *ai7 Xq 



^= + 2-259 a?,," - 0-766 



+ 1-238 



Xio = + 0-424 

 a?i„i = - 0-424 



The sum of the squares of these alterations is = 203-391, an< 

 the mean value of each of them 



,203-391 ^,, ^„, 



= V = + 2"-695 



38-10 - 



From this determination, and from the above given weights of 

 the determinations of p and </, the mean errors of these quanti- 

 ties are 



= + 0-5087 and = + 0-1602, 



or the mean errors 



of i = + 0-00005087, 

 of k = ± 0-01602; 



