434 PROFESSOR EVERETT ON A METHOD OF REDUCING 
The values of A,, A;, B, A,, B,, obtained in the manner above indicated, 
are— ; 



For the 8 feet thermometer, | 46°27 |—618 |—3-44 | +-°4025 
6 feet ane 46°55 |—3-:10 |—365 | +-120 
12 feet ae 46:92 | +003 |—2:31 | —-0833 
. 24 feet a 47-18 | +0615 | —0-118 | —-0167 




And the values of P,, P,, E,, E,, obtained from these by the formulze of transfor- — 
mation (3), are— 






240° 54’ 
220° 20’ 
179° Ua’ 
100° 52’ 
For the 3 feet thermometer, 7:07 
6 feet srt 4:79 
12 feet aes 2°31 
. 24 feet 
46° 271 
22°.-16/ 
— 52° 41’ 
—130° 46’ 




With the view of testing how nearly the formule give the true temperature 
of each month, I have calculated the temperature of each thermometer for each 
month both by formula (1) and formula (2), the results in the two cases being 
identical ; and the following table exhibits their differences from the actual tem- 
peratures. The numbers in the first line are the actual temperatures; those in 
the second line are obtained by putting ¢ successively equal to 0, 2: T, x T, &e. 
in expressions (1) and (2); and those in the third line are the corrections neces- 
sary for reducing the calculated to the actual temperatures. For the sake of 
exhibiting the variations of temperature more clearly, the temperatures have in 
each case been diminished by the mean of the year, so that temperatures below 
the mean bear the negative sign. 

