98 Scientific Proceedings, Royal Dublin Society. 
This gives us, in the Southern Hemisphere, the following seven 
equations :-— 
0. ... 9782801 k+2. (1) 
10... . 9652 78:7 k+R. (2) 
20. . . 994=74-7h4 RB. (3) 
30... 859=66-7h+R. (4) 
40...) « Wieoe=bT 9 h+ Re (5) 
50. 22, COSA S kr ke (6) 
60... SS7=853h+R. (7) 
Any two of these equations will determine & and R; and hence 
we have 21 combinations for finding their values. 
These all give consistent results, and the mean values of & and 
R, derived from the 21 combinations, are— 
k=0°8995. 
R = 22-405 feet of ice. 
As the distribution of heat near the equator is disturbed by the 
motions of the heated water, so that the parallel of 10° N. is 
actually hotter than the equator, I have made another calcula- 
tion, throwing out the latitudes 0° and 10°, which reduces the 
combinations (from latitudes 20° to 60°) to 10 in number. The 
result of this calculation is— 
K=0°8512. 
RK = 22°60 feet of ice. 
The agreement of these results with the former shows that our 
formula represents well the whole of the Southern Hemisphere, 
whose annual radiation of heat may be represented by 22 feet of 
ice melted. 
In the Northern Hemisphere we have the following nine 
equations— 
0. . . 97880142. (1) 
10. . . 965=81-044R. (2) 
20... . 984=776h4 RP. (3) 
30. . . 859=676k4R. (4) 
40. . . TT32505k+R. (5) 
50. . . 668=43444-2. (6) 
60... . 55-7= 29-344 RF. (7) 
70... 4632144442. (8) 
80... 419= ADK4R, (9) 
