114 Trans. Acad. Sci. of St. Louis. 



271 



t/ 





r (li^^) r (l±l'] 



2 — n \ 2n J \ n J /^^x 



lQ—n\ 

 \ 2n I 



The numerical value between and 1 is by computation 

 from (54) found to be 0.9975. 



The close agreement between this value, and that given in 



the table of integrals obtained by graphical means, makes it 



seem desirable to say that the graphical values were first de 



termined, and on a large diagram which was very carefully 



constructed and measured. The value of n as computed 



Pv 

 from the independently determined constants C^ and -y^ for 



oxygen, hydrogen, nitrogen and air, only differs in the 

 fourth significant figure as is shown in the former paper. It 

 therefore seems justifiable to assume that this integral rep- 

 resents a physical constant which may be relied upon with 

 considerable confidence in the fourth decimal place. 



The mass of the entire nebula may therefore be represented 

 by the equation 



1 _i_ 4-3n 



i (2 — 71)2 27^^7 V ) 



The mass internal to any radius B is 



^0 f 



~0.9975j*' 



M=rr-?^, \f(x)dx 



The mass M^ of our solar system may be taken as 

 1.99 X 10^^ grammes. The mass of the planet Neptune is 

 1.029 X 10^^ grammes. Let us assume that the solar nebula 



