618 
THE EAEL OF EOSSE ON THE EADIATION 
t — C. 
- 0-0945 
- 
log a 
+ 
2-137 
lo gj p 
+ 0-00019 
- 0-1014 
= 
log a 
+ 
2-207 
log^ 
15 
- 0-1088 
= 
log a 
+ 
2-283 
logjP 
11 
- 0-1167 
— 
log a 
+ 
2-364 
iogi> 
7 
- 0-1254 
= 
log a 
+ 
2-452 
log^ 
+ 0-0002 
- 0-1348 
= 
log a 
+ 
2-547 
log^> 
-0-0005 
- 0-1449 
= 
log a 
+ 
2-650 
logi? 
11 
- 0-1557 
= 
log CL 
+ 
2-762 
\ogp 
15 
- 0-1673 
= 
log a 
+ 
2-884 
logp 
18 
- 0-1797 
— 
log« 
+ 
3-017 
iogi> 
20 
- 0-1930 
---- 
log a 
+ 
3-163 
log_p 
18 
- 0-2074 
= 
log a 
+ 
3-324 log^> 
13 
- 0-2232 
= 
log a 
+ 
3-501 log^> 
8 
- 0-2407 
= 
log a 
+ 
3-697 
log^ 
-0-0001 
- 0-2603 
= 
log a 
+ 
3-915 
\ogjp 
+0-0004 
- 0-2823 
— 
log CL 
+ 
4-157 
log^ 
8 
- 0-3069 
= 
log a 
+ 
4-428 
l°g_P 
+ 0-0012; 
whence 
51-00 log a + 101-7900 log_p - 4-2542 = 0, 
101-79 log cl + 240-8824 logjp - 11-9755 = 0; 
whence 
log ct = 0-10096; logjj = 9-90762 - 10. 
If these values of log a and log p are substituted in the above fifty-one equations, the 
equations will he found to he satisfied, excepting the t — c (table — calculation) given on 
the right of the page. 
The smallness of these differences naturally leads us to regard the formula as trust- 
worthy for those circumstances under which it has hitherto been impossible to procure 
observations, and even for those cases where they are altogether beyond our reach. 
For taking the formula (1), 
t=ap s , 
we have only to put s = l in order to get 
t=aj), 
or the zenith-effect of the moon’s heat; and further, by taking the extreme case s = 0, 
we have 
t=a, 
or the heat-effect supposing the atmosphere to be removed altogether*. 
* Taking the moon’s maximum zenith heat-effect at the earth’s surface at 407 - 3 (p. 606), we have 513-9 as 
the maximum before her rays enter our atmosphere. 
