﻿IN THE METHOD OF LEAST SQUARES. 



209 



II. 



III. 



It is obvious that the solution I., as given by Gauss in the memoir above quoted, 

 is incorrect, since the sum of the squares of the errors should be less by the method 

 of least squares than by any other mode of combination.* A rcAdsed solution gives 

 the following equations for I. Those for II. and III. are repeated for the sake of 

 comparison. 



I. (Revised solution.) 



* The errors of equations (10) and (11) given in the Disq. de Elementis Palladis are — 216". 54 and 

 + 83".01 ; the joint efTect of these would increase still further the discrepancy in O. 



