380 



HENEY A. EOWLAND 



TABLE XVI. RATIOS OF CONSTANTS. 



From these we have the following, as the final most probable results : 



C n = 8-0601 C lt 

 <7,,, = 1-31175 0,, 



C, = -031003 <7 iv , 

 = -24991 <7 iv , 

 0,,,= -040661 IT , 



of which the last three are only used to calculate the temperatures on 

 the mercurial thermometer, and hence are of little importance in the 

 remainder of this paper. 



The value of C' which we have found for the old value of the coeffi- 

 cient of expansion of glass was 



C' = -056976; 



and hence, corrected to the new coefficient, it is, as I have shown, 



C, =.056962. 

 Hence, G n = '45912 , 



<7 y// = -074720. 



And we have finally the three following equations to reduce the ther- 

 mometers to temperatures on the air thermometer: 



Thermometer No. 5163: 

 T = -056962 V 1' -00018 T (40 T) (1 -003 (T -f 40)). 



Thermometer "No. 6165: 

 T= -45912 V" V -00018 T (T 40) (1 -003 (T + 40)). 



Thermometer No. 6166: 

 T= -074720 V'" V" ' 00018 T (T 40) (1 -003 (T+40)); 



where V, V" ', and V" are the volumes of the tube obtained by cali- 

 bration; t ', t ", and t " f are constants depending on the zero point, and 



