Sm B. C. BRODIE ON THE CALCTTLUS OP CHEMICAL OPERATIONS. 



841 



aY<^i> 



the minimum integral solutions of which equatioUB give 



m =2, n =1, 



mj=3, nj=Q, 



»i2=l, W2=2, 

 and we have as the 



Symbol of terchloride of antimony 



Symbol of antimony a<r*. 



3. On the third hypothesis 2^3 =^2? ^^^^ 



4m = 6+», 

 47ni— l^+^i, 



4^2=%, 

 and 



m =2, n =2, 



Wi=3, Wi=0, 



?n2=l, »2=4, 



a minimum, and the symbol of the terchloride is, as before, a'^xV,, and the symbol of 

 antimony aV}, the equations on the two hypotheses being thus expressed : 



Hypothesis II 2a'%V, = 3a);^'-j-a<rJ. 



Hypothesis III 4ay(r, = 6a%'' + aVJ, 



The symbol of the terchloride, and of all other compounds of antimony, is the same 

 on either view. 



Combinations of the Prime Factors a, ^, ^, X' ^^^ 



a.. 



Symbol of Bismuth. — We are able to make precisely similar statements as to the 

 relation which subsists between the densities of the terchloride of bismuth and its 

 elements, chlorine and bismuth, to those which have been made respecting terchloride 



