376 F. E. Stimpson on Farmer's Theorem. 
The value of /’ and 7’ from these proportions will be found 
in the 4th and 6th columns of the above table. 
t will be seen that in the second table the burners gave equal 
light for consumptions of 180 and 104; these numbers have been 
used therefore in the corrections for that table. 
The experiments show that the last term of the proportions 
should be 100. The tables show that by the old formula, this 
term becomes about 100 for every experiment of the first table, 
and for the first seven experiments of the second table, the 
greatest difference being 7-2; and for the remaining five experi- 
ments, the old formula gives the best approximate results except 
for the last one, and here the old law gives a result which must 
be multiplied by 2°15 to make it correct, and Farmer’s Theorem 
gives a result that must be divided by 2°15 to make it correct. 
rom a perusal of these various results, I am led to disagree 
with Prof. Silliman, and say that ‘Farmer’s Theorem’ is not 
every consumption of gas there is a burner which is best suited 
er. 
In the above, reference has been made only to experiments 
1 I have, however, 
oe and the results are curious, instructive and unexpected. 
April, 1870. 
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