cclxxii 



PRELIMINAKY SOLUTIONS. 



MARS II. 



Normal Equations. 



Solving the equations derived from the last column, it became evident that a nearer approach 

 to accuracy would be attainable by the exclusion of the Kremsmimster observations. This 

 being done, the solution gave the values and mean errors thus : 



x F.T536 0&quot;.18Y8 



y = + 3&quot;.4538 0&quot;.0516 



z= + F.513T 0&quot;.1069 



w= + 0&quot;.1828 OM463 



The propriety of the exclusion of the Kremsmtinster group is thus vindicated, and the weights 

 thus obtained for the other groups are available for the next solution. The following slightly 

 different weights, obtained from still another solution, were actually employed for the multi 

 plication : 



Sant. Equal. 



1.539 



Sant. Merid. 



0.411 



Sant. Merid., (suppl.) Wash. Equal. 



0.308 



2.526 



Cape Merid. 



1.614 



Greenwich Merid. 



0.685 



