1839] 



Terrestrial Magnet'tc Force in Sciitliern Imiia^ 

 And furlher, for the third group. 



245 



Place of observa- 

 tion. 



1 



\ 



\ 





1 



A 



or ! 



B 

 or 



COS. X, 



1 



w 





o 



' 



o 















17- J- 



8 





78 



10 



\- 27 



nn 



— 6b 



+ 13 



2 



2 





49 



77 



57 





52 



90 



9 



2 





8 



48 



78 



14 



or» 

 OD 



09 



82 



4 



4 



Palamcottah .... 



8 



'14 



77 



48 



40 



4o 



£0 



7 



4 





8 



11 



77 



28 





9-1 



157 



8 





Trivandrum , . . 



8 



30 



76 



59 



- 



34 





120 



1 



7 





8 



54 



76 



56 



so 



8 



66 



3 



2 



Allepe 



9 



31 



76 



21 



- 7 



42 









Balc/hatty 



9 



58 



76 



17 



34 



46 



— 04 



1 



6 



Chetwaye 



10 



32 



7G 



4 



68 



59 



17 



9 



4 



Penan ey 



10 



4f) 



7-3 



58 



82 



65 



146 



7 



2 



Calicut 



11 



15 



75 



49 



111 





238 



0 



5 



We have found above, that 



Bz/;-pnt 



and it only remains, that, with the above values of A, B, {h—h^ = D 

 and the weight (tv) (determined from a consideration of the number 

 and goodness of the observations constituting each result); we should 

 now, by the method of minimum squares, determine the most probable 

 values for x 8f : to accomplish this, we must, after multiplying the 

 above equation by w, again multiply it successively by the coeffici- 

 ents of the quantities sought ; when we get equations of the form 



and 



w cc A B tu jj — A D IV 

 AB w cc B-i w V z=B'D IV 



from which, by the following equations of conditions, the most probable 

 values of x and t/ will now be obtained: 



30976 X 





704?/ 



= t 59804,8 



14884 





244 



= + 



28645,6 



6084 





0 





14352,0 



2704 





520 



= + 



5668,0 



4 



f 



36 





10,0 



1764 



+ 



336 





2982,0 



10086 





984 





22140,0 



29241 





5i30 





59867,1 



24300 





1350 



= + 



52758.0 



— 704 07 -f- 



— 244 f 



— 0+0 



— 520 -f 100 

 + 35 -j- 324 

 -t 336 + 64 



— 984 + 96 



— 5130 + 900 



— 1350 4- 75 



16 2/ = - 1359,2 

 4 469,6 

 0,0 



— 1090,0 

 + 90,0 

 + 568,0 



— 2160,0 



— 10503,0 



— 23418 



