344 
Edinburgh and the immediate neighbourhood ; (1.) The trap rock of 
Calton Hill ; (2.) The sand below the soil of the Experimental Gar- 
dens ; and (3.) The sandstone of Craigleith Quarry. In each place 
there were, besides a surface thermometer, four thermometers at the 
depths of 3, 6, 12, and 24 French feet respectively. The diminu- 
tion in the amplitude, and the retardation of phase in going down- 
wards, has been determined for the annual, for the half-yearly, 
third-yearly, and the quarterly term, on the average for these five 
years for each locality. The same has been determined for the 
average of twelve years of observation, continued on Calton Hill by 
the staff of the Hoyal Edinburgh Observatory. 
The following results with reference to the annual harmonic term 
are selected for example : — 
Average of five years , 1837 to 1842. 
- 
Retardation of 
phase in days, per 
French foot of 
descent. 
Retardation of 
phase in circular 
measure, per 
French foot of 
descent, 
Diminution of 
Napierian logarithm 
of amplitude, per 
French foot of 
descent. 
Calton Hill. 
3 feet to 6 feet. 
6 „ 12 „ 
12 „ 24 „ 

•11635 
11344 
11490 
•12625 
12156 
T0959 
Mean, or 3 to 24. 
6’68 days. 
•1147 
.1154 
JExperim 1 . Garden. 
3 feet to 6 feet. 
6 „ 12 „ 
12 „ 24 „ 
•11635 
•11929 
•10617 
T0037 
•11304 
•10844 
Mean, or 3 to 24. 
6‘6 days. 
•11137 
•10859 
Craigleith Quarry. 
3 feet to 6 feet. 
6 „ 12 „ 
12 „ 24 „ 
•063995 
•066903 
•066903 
09372 
•06304 
•06476 
Mean, or 3 to 24. 
3*86 days. 
•066489 
•06840 
If Fourier’s conditions of uniformity, stated above, were fulfilled 
strictly, the numbers shown in the second column for each locality 
