MECHANISM OF NATURE 



PROPOSITION III. 



No space can be entirely filled by primary 

 spheres; their closest possible contact will leave 

 interstices between them. 



Let A be a circular plane, and let the smaller 

 circles within it represent the diameter of pri- 

 mary spheres. 



Then, it is evident that the spheres may not be 

 placed closer together, yet there remains in the 

 larger circle spaces which are not filled by the cir- 

 cumference of the spheres. And since it is evident 

 that any rectilineal figure would show the same 

 result, and that this will hold true in any direc- 

 tion, therefore, no space can be entirely filled by 

 primary spheres; their closest possible contact 

 leaves interstices between them. 



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