APPENDIX. 101 



bining proportions are observable whether two elements 

 combine to form a single compound, or half a dozen dif- 

 ferent compounds ; and the successive combinations are 

 multiples, or simple ratios, which may be expressed by 

 the numerals 1, 2, 3, 4, 5, etc., or 1, 1, 2, 2, 3, 3, 

 etc. 



33. In the first order, it will be seen that the quanti- 

 ties expressed by 2, 3, 4, etc., are 'multiples ojf the finst r, , 

 and in the second series, the quan^tit's; are- ) lnprease'4 "i 

 each combination one-half of ihe first. , , , , , , , , , 



The following illustrates the .coTpbmat'bns o,f Jshvo^n' 

 and Oxygen, and they will be found to follow the first 

 series of numbers ; for, while the Nitrogen remains 

 stationary, the Oxygen in each succeeding combination 

 is a multiple of 8, its equivalent number. 



COMBINATIONS OF NITROGEN AND OXYGEN : 



34. The annexed combinations of Oxygen with Man- 

 ganese illustrate the second series of figures, wherein 

 each succeeding number is increased by the addition of 

 half of the first, or equivalent. 



9* 



