86 Inquiry concerning the Nature of Heat y 



the covered sides of the vessels was the same in both ; 

 consequently, more heat must have passed that way, 

 and of course less through the bottom of the vessel, 

 when the time of cooling was the longest, that is to say, 

 in the vessel which was not p aced over ice. 



As the cooling of these vessels is a complicated pro- 

 cess, I will endeavour to elucidate the subject still 

 farther. 



As the two conical vessels were of the same form and 

 dimensions, and contained equal quantities of hot water, 

 the quantities of heat they parted with, in being cooled 

 the same number of degrees, must of course have been 

 equal. 



Expressing that quantity by the algebraic symbol a y 

 and putting x = the quantity of heat which passed off 

 through the covered sides of the vessel which was sus- 

 pended over ice during the time it was cooling through 

 the given interval of 10 degrees, and y = the quantity 

 which passed off through the covered sides of the other 

 vessel during the time that vessel was coo ing through 

 the same interval, the quantity of heat which passed 

 off through the bottom of the vessel which was placed 

 over ice during the time it was cooling through the 

 given interval must have been = a x, and that 

 which passed off through the bottom of the other ves- 

 sel during the time of its cooling through the same 

 interval = a y. 



But, as the velocities of the heat through the covered 

 sides of both vessels must have been equal, the quanti- 

 ties of heat which passed off that way must have been 

 as the times of cooling. 



The times of cooling in the last-mentioned experi- 

 ment (No. 30) were as follows : 



