ATOMIC NUMBER. 21' 



surface about equal to two congressional townships on this 

 new globe. 



A river valley three miles wide on our earth, would be 

 like the Atlantic, 3,000 miles wide. 



A little town of one thousand inhabitants on our earth 

 would be represented by 1,000 millions of inhabitants. 



The entire sun would be only one-tenth in dimension, 

 one-hundredth in surface, of this required globe. 



To find a single needle in a haystack covering this globe, 

 the surface of which is a million times that of our earth, is 

 exactly the same chance as that the atomic weights of twelve 

 elements are full numbers to the hundredth of a unit exactly, 

 by chance. 



Now, as these twelve elements actually do so terminate 

 in fact, this fact is not a matter of chance, but due to a Law 

 of Nature. 



This is the best I can do to give the reader any concep- 

 tion of the meaning of the chance expressed in the number 

 above given, that unit followed by twenty-four ciphers. 



Why our Demonstration Applies to All Elements. 



But since we have not selected the dozen elements, except 

 for the fact that the analytical work done was the most 

 perfect (such as done by Berzelius and Crookes, by Ramsay 

 and Lord Rayleigh), then this calculation applies to any 

 twelve out of the total number of elements. 



Accordingly ', this calculation does apply to all the chemical 

 elements ! 



The mathematical expression of this great natural fact, 

 may be stated in the following words: 



The atomic weights of all chemical elements are exactly 

 commensurable ; 



The greatest common diznsor of all is the twenty-fourth 

 part of the atomic -weight of diamond-carbon. 



The Atomic Number. 



If then, we take this weight as unit and call it the atomic 

 iveight of pantogen, the atomic weight of all chemical 



