198 



Transaction*. — Miscellaneous. 



applying the final angles in (7) tc the bearing of P P x . The 

 rectangular co-ordinates are obtained from the bearings and 

 distances in (14) and (13). 



III. Comparison of Results. 



The corrections to the angles, after adjusting each triangle 

 are obtained from (5) and (7) of I., and are given 

 the corresponding least -square corrections are also 



to 180° 

 below : 



given. 



Angles. 



A, 

 B, 



Ox 



A., 



B 2 

 C 2 

 A, 

 B 



Total corrections ir- 

 respective of sign J 



In the angles C, and B 3 the least - square correction is 

 larger than the ordinary correction ; but the total corrections 

 to all the angles of the figure are, by least squares, much less 

 than those obtained in the ordinary way. 



Thus, the total ordinary cor- u u 



rection is ... ... ... 29*04 or 9-68 per triangle, 



while the total least square is ... 22-98 „ 7*66 „ 



29-04 



22-98 



202 



thus giving a difference of ... 600 



in favour of the least-square adjustment. 



A comparison of the bearings and Lengths shows the fol- 



lowing dit' s :— 





rings, 



I 



Lea ; 



(from 



II i. 



. ii.'.'- 



Len 



( >rd ' 

 (from la. 





Least 

 Squ 



II.. 



inn', i- 



PP, 

 PP 



59 



282 



28 

 21 



•J 7 

 3 





46-53 



Links. 

 3-79 



618i 



Links. 

 961 i 



73459-02 

 1976 



7-06 



Links. 

 + 0-25 

 + 0-58 

 - 0- 

 + 0-40 

 + G" 



These difl - in bearings and Lengths result Iron: 



methods ui adjustmen! adopted, and arc entirely h 



