]82o.] Mathematical Principles of Chemical Philosophy, Hi 



do not possess means of ascertaining their relative positions ; 

 the corrections to be applied must be furnished by a knowledge 

 of the laws of chemical action ; so that this department of 

 science is similarly situated with several parts of physical astro- 

 nomy, in which the anomalies can be ascertained, and proper 

 corrections made, only by means of formulaa derived from the 

 primary laws. 

 Make(c)=(/), 



Then 



y/^ = f .'.F^ {/{S"- X W} (B) 



By help of the above formulae, and others which are easily 

 investigated, many properties of solids maybe ascertained. 



These are properties which depend upon that force which 

 produces the phenomena of gravitation ; and in order to ascer- 

 tain to what extent this force is concerned in producing chemi- 

 cal changes, or what relation it bears to those forces which are 

 conspicuous in producing chemical actions, we must compare 

 the results of experiment with the conclusions deduced from the 

 above formulse. 



The atomic diameters of the following soHds are calculated 

 from (A). 



Atomic iliameter. Atomic weight. According to 



Gold 5-039 24-838 Berzelius. 



Gold 4-061 *12-9 Brande. 



Silver 5-013 *13-3 Davy. 



Silver t)-341 26-88 Berzelius. 



Copper 4-497 *8-00 Davy. 



Copper 3-556 4-00 WoUaston. 



Iron 4-448 *6-85 Davy. 



Iron 3-530 3-45 Wol'laston. 



Lead 5-943 24-9 Davy. 



Lead 4-848 *12-95 WoUaston. 



Tm 4-641 *7-31 Davy. 



Tin 5-848 14-7 Berzelius. 



Zinc 3-979 *4-4 Davy. 



Zinc 4-848 8-0 Berzelius. 



Phosphorus.. 4-217 1-335 Davy. 



Phosphorus. . 4-61 1-74 WoUaston. 



Sulphur 4-641 2-00 WoUaston. 



Carbon 6-979 0-223 Sp. gr. 



Carbon 3-634 1*526 Sp. gr. 



In this table, I have calculated from several sets of atomic 

 numbers ; for different chemists of equal eminence assign to the 

 atoms of solids very different weights, i have chosen the 

 extremes, as it would be but tedious, and not at all satisfactory, 

 to give the diameters calculated from many numbers differing 



