and the Mode of its Communication. 89 



actually lost would have required 47 minutes to have 

 passed through the bottom of that vessel, it is evident 

 that the quantity which actually passed through that 

 surface, in the experiment in question (No. 30), could 

 not have been to the whole quantity actually lost in a 

 greater proportion than that of the times, or as 39^- 

 to 47. 



Assuming any given number as 10,000, for instance 

 to represent the whole of the heat lost in the experi- 

 ment, we can now determine what part or proportion 

 of it passed off through the bottom of the conical ves- 

 sel, and consequently how much of it must have made 

 its way through its covered sides. 



If the whole quantity, 10,000, would have re- 

 quired 47 minutes to have passed through the bottom 

 of the vessel, the quantity which actually passed through 

 that surface in 39^- minutes could not possibly have 

 amounted to more than 8404, = a y. 



For it is 47 minutes to 10,000, as 39^- minutes to 

 8404. The remainder of the heat, = 10,000 8404 

 = 1396 parts, (=jy) must have made its way through 

 the covered sides of the vessel. 



And, if a quantity of heat = 1396 required 39^ min- 

 utes to make its way through the covered sides of one 

 of the conical vessels, the quantity which made its way 

 through the covered sides of the other in 33 j- minutes 

 could not have amounted to more than 1175 parts; and 

 the remainder of that which was actually disposed of in 

 the experiment = 10,000 1175 = 8825 (== a 

 #,) must have passed off through the bottom, of the in- 

 strument. 



Hence it appears, that the quantity of heat which 

 actually passed off through the bottom of the conical 



