1821.] Causes of Calorific Capacity, Latent Heat, £c. 207 

 is double that found by experiment. Without attending to this 

 remark, we should find that the theory would differ most from 

 Fahrenheit's when the volumes or weights are so taken, that one 

 of the results coincides with Fahrenheit's arithmetical mean. 



w 

 Either case of this condition is obtained by taking — ■ = 



^^•t-t-^.,;*.: 



Cor. 2.— It also follows that if Q be any true temperature, the 

 ratio of the volumes or weights to produce that temperature are 



V, T - Q N , W, T - Q 



obtained from the equations ^- = q^Tt, ' N^ a W = Q^-~T 



P 



Prop. VI.TiiF.on. IV. 

 The ratio of the numeratoms and specific gravities of two 

 homogeneous bodies being given, the ratio of the mass of a par- 

 ticle of the one body to that of a particle of the other is 

 compounded of the direct ratid of the specific gravities and the 

 reciprocal of the numeratoms. 



In page 411 of the last volume of the Annals, I have shown 

 from my C theory of gravitation that the weights of any two sphe- 

 rical bodies towards a third, at equal distances, are directly as 

 their quantities of matter ; and, consequently, the weights of any 

 two bodies towards a third at such a distance from this third that 

 their figures do not interfere with the sums of the gravitating 

 weights of all their parts, are directly as those sums ; that is, as 

 the quantities of matter in the whole bodies. But the weights 

 are as the volumes, and what we call the specific gravities con 

 jointly; and the quantities of matter are likewise as the indivi- 

 dual masses of the particles, numeratoms, and volumes, conjointly. 

 The ratio, therefore, of the mass of a particle of the one to the 

 mass of a particle of the other in any two homogeneous bodies, 

 when the numeratoms are equal, is equal to the direct ratio of 

 the specific gravities of the bodies ; and when the specific gra- 

 vities are equal, to the inverse ratio of the numeratoms. But 

 when neither specific gravities nor numeratoms are equal, the 

 ratio of the masses of the two particles is equal to that com- 

 pounded of the simple of the specific gravities and the reci- 

 procal of the numeratoms. 



Cor. — Because there is every reason to believe that the ulti- 

 mate atoms of all bodies are composed of the same kind of mat- 

 ter, the magnitudes of the constituent particles of any bodies, if 

 similarly composed of pores and solid parts, will have the same 

 ratio as the masses of the particles. The one ratio, therefore. 

 kwing known, the other becomes known; and, consequently, if 



