400 ME. W. HOPKINS OX THE COXSTEUCTIOX OE A NEW CALOEDIETEE 
Hence, putting 
^—’11 
a 5'5 
= •038, we have 
L Q«=l-52{l+-038}. 
11. Q»=4-16{l + -038}. 
III. Q°= 8 - 88 {l + -038}. 
14. Applying all these corrections, we have 
Q"=Q;{i+^(i-|)+(i-;;)T-f+f} 
(•) 
= QJ{1+E} suppose. 
Consequently the observed values of Q (or Rj— Ei), the mean results of the series 
I., II., III. respectively, must be increased in the ratio 
l+Ej : 1 in senes I., 
I+E 2 : 1 in series II., 
I-I-E 3 : 1 in series III., 
when we substitute them in equation ( 6 .) for the purpose of determinmg 7 /jj, and ???, ; 
or since an alteration in Q will produce a proportional change in m (as is endent from 
the equation), we must increase and in the above ratios respectively ; i. e. for 
their mean value we shall have 
7710= ‘783 {1+-^(Ei+E2+E3}. 
Now taking the sum of the corrections indicated in the above expression for Q. in 
each of the three series separately, we have 
E,= -0453 
E2=-0451 
E3=-0443 
E| + E. + E. ^,045; 
and hence we have, finally, 
7?7o=’783{1 + -045} 
= •818. 
Finally, substituting this value of m in the formula ( 6 .) of article 13, we have 
Q'’=l- 666 «V-l) + -00648 (^:^) ( 8 .) 
We may now compare the observed quantities of heat radiating from a surface of 
glass, as ascertained by the above three series of experiments, with the calculated values 
given by this formula. In doing this, it must be recollected that the formula gives the 
lohole quantity of heat which radiates from the given glass surface, whereas the obsei'ved 
quantity is that which falls on the calorimeter. The correction E 3 must therefore be 
omitted, and the above formula becomes 
Q“= 1-610 -00626 
