Hence 



OP ARTS AND SCIENCES. 385 



a = — G30.4 =317.1 fi 

 b = — 0.81=: 0.41^ 



Q4— 31 7.1m = /?2 = ^0+1-6 i« 



Qi— 318.7 ;a=^o 



Coefficient = +17.17^ — 0.41 fi = 16.76/1 

 Equations of Condition between Q4 and R^. 



No. Obs. 7?3 — (?4 



7 —423.2 div. = a +16 19;; 



4 —472.2 = a +12.636 



3 —552.1 = a + 6.246 



4 —800.2 = a —13.816 



Normal Equations. 



—2247.7= 4a + 21.256 

 —5209.8 = 21.25 a +651.30 6 



a = —628.4 =—316.1 fi 

 6 = + 12.50=+ 6.29 /z 



Q^ —316.1 // = 7?3 = Jq +1-2/" 

 C!i— 317.3 /z = .4o 



Coefficient = + 10.28 /z + 6.29 fi = +16.57 fi 

 For the mean value we have : 



Hence 



Coefficient = 16.66 /x 



For the relations between Q^, Q„, Q^, and A^, at 0° C, we have, 

 from the comparisons made near 0°, as follows : 



Qi —292.2 fi = R2 Qi —179.8 // = /?3 



= Jo -284.6 // = Jq— 1"0-2 fi 



Qi- 7.0 // = .i, Q,— 9.6// = .!, 



For the mean Qi — SG/^^Aq 



TOL. XX. (n. S. XII.) 25 



