and the Mode of its Com mun ication . 141 
surface of the vessel, other things being equal ; if a quantity of 
heat = 1 could pass out of the cylindrical vessel in 7 minutes 
and 50 seconds, it would require 6 times as long, or 47 minutes, 
to pass out of the conical vessel, through its fat bottom , sup- 
posing no heat whatever to escape through the covered sides of 
that vessel. 
If now the whole of the heat which the conical vessel 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 ques- 
tion, (No. 30,) could not have been, to the whole quantity 
actually lost, in a greater proportion than that of the times, or 
as s 9 i to 47- 
Assuming any given number, as 10000, for instance, to re- 
present the whole of the heat lost in the experiment, we can 
now determine what part or proportion of it passed off through 
the bottom of the conical vessel, and consequently how much of 
it must have made its way through its covered sides. 
If the whole quantity, == 10000, would have required 47 mi- 
nutes to have passed through the bottom of the vessel, the 
quantity which actually passed through that surface in 391- 
minutes, could not possibly have amounted to more than 8404, 
For it is 47 min. to 10000, as 3 gj- min. to 8404. The re- 
mainder of the heat, = 10000 — 8404= 1396 parts, (=y,) 
must have made its way through the covered sides of the vessel. 
And, if a quantity of heat = 1396, required ggj- minutes 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^ minutes, could not have amounted to 
