COEFFICIENTS OF SOLENOIDS. 27 



« = 0.6884227 



This coincides with the vakies found from (22) or from (17) 

 by using Legendre's tables of elliptic integrals. 



§ 24. Most of the formulge above deduced admit of easy 

 calculation, but when the values of S for different «' s are once 

 tabulated, they will have only a theoretical interest. In the 

 eyes of practical men, the result of the various calculations above 

 given for finding S will be of little value, when the table is 

 constructed. 



The following tables of loffio S and S as functions of « were 



calculated by Mr. G. Sugimoto from formula (17), by making 



use of Legendre's tables of elliptic integrals given in ' Exercises ' 



vol. 3. It is given for every degree of «, but in practice it will 



be more convenient to tabulate S as a function of 



Diameter _ 2a 

 '^"-^ Length ~W 



The last table gives S with tg a as argument. It was obtained 



from the foregoing table by interpolation. 



