384 PROCEEDINGS OF THE AMERICAN ACADEMY 



Equations of Condition between Q.^ and iJg. 



Hence 



Normal Equations. 



—1892.6= 4a + 25.33 6 

 — 2908.U = 25.33 a +730.76 6 



a = —573.8 div. = 288.6 fi 

 6 = + 15.91 div. = 8.00 fi 



Q. —288.6 u = 7?3 = Ao +1.9/i 

 Qo— 289.8/^ = ^0 

 Coefficient =10.28 /z +8.00 /z =18.28/* 



Comparison of Q^ with Rj. 



8612 ifj— ?s 



+2°12 —600.7 div. 



+223 —580.2 



+3.22 —586.9 



+4.70 ' —579.6 



+3.60 —576.2 



Means +3.17 —584.7 



Reduced to 0° with coeff. 1.83 div., we have 



R, — Qg at 03 = —579.2 = —301.3 fi 

 Hence 



Q , _301 .3 /z = i?.2 = ^0 —284.6 /x 

 Qa- 16.7 /z = ^o 



COMPARISON OF CATIIETOMETEH METER Q4 WITH 7?^, AND R^. 

 Equations of Condition between Q^ and 7?o. 



Normal Equations. 



— 3178.3 div. = 5a + 32.56 6 

 —21131.7 div. = 32.66 a +751.466 



