PEIRCE AND WILLSON. — THERMAL CONDUCTIVITIES. 



15 



-s 



TABLE III. 



[ -'""(¥) 



[^„/,(,r,)sinh(^) 



We shall wish to base an argument upon the values of S given in 

 the last line of Table III., and upon certain corresponding values of the 

 quantity 



T= y -^^ — ^. (25) 



We print, therefore, in Tables V. and VI., the numerical values of 

 the terms of the series which define these functions in the cases in 

 question. 



It is evident that the three values of ^S* are in reality less than 0.125, 

 0.250, 0.375, respectively, though by quantities far too small to appear in 

 our results. Unavoidable errors introduced by adding together, in some 

 instances, hundreds of numbers determined by logarithms, make the last 

 figures given doubtful. Although our computations were made through- 

 out with the aid of seven place and ten place tables, we have contented 

 ourselves with four places in tabulating the values of T. It is interesting 



