OP ARTS AND SCIENCES. 



365 



Since it cannot be assumed that the relative coefficient between 

 T and C.S. for 0° is the same as for 1G°.G7, it will be advisable to 

 derive the values of a and b from the observations made near these 

 temperatures. From the observations between March 22 and April 

 10 inclusive, we have 



4-0909.4= 15 a + 42.37 5 

 -j-188o3.5 = 42.37 a -f 389.4 b 



h = —3.09 

 a = -1-473.3 



From the observations made between May 14 and June 7, we have 



-[-9727.2= 23 a -\- 351.83 6 

 +148666.8 = 351.83 a + 5421.10 b 



Whence between 0° and 1G°.67, 



b = —3.21 

 a = +472.0 



5 = — 



54.8 



= —3.29 div. = —1.45 



fi. 



16.G7 



"We have already found, 



b= 16.22 /x — 17.45 /. = — 1.23 /x. 



Combining, we have, 



-1.45^-1 .23 ;^ 

 — 2 ^= — l.o3/>(, = — 3. 05 div. 



which is the value which has been used in obtaining the reduced values 



of r^ — as. 



