782 
AUCHDEACON PEATT ON THE INELIJENCE OF 
1 
Radis of circles. 
Radii of circles. 
1 
5-0 
16 
21-4 1 
2 
5-5 
17 
23-6 
3 
6-1 
18 
26-1 ; 
4 
6-7 
19 
28-8 
5 
7.4 
20 
31-8 i 
6 
8-1 
21 
35-3 1 
7 
8-9 
22 
38-9 
8 
9-8 
23 
43-1 , 
9 
10-8 
24 
48-1 
10 
11-9 
25 
53*9 
n 
13*1 
26 
60-7 
12 
14*4 
27 
68-9 
13 
16-0 
28 
79-3 
14 
17-6 
29 
93-3 
15 
19-4 
30 
The next is 
116-7 
beyond the antipodes. ; 
Also mean density of the earth=6-66 times that of distilled water. Also mean density 
of the earth = 4 ^f’ ^—gravity, r=4000 miles. The density of Schehallien, which is a 
fair representative 
of the density of rock at the surface, =2-75 X dens, distilled water ; 
g'ss excess of density of rock above that of sea-water 
1-722 , /. .1 3 1722^. 
=■ 5 ^ =4^ ^ r ’ 
also sin 15°=0-2588, 
attraction of mass in any compartment=0-000009079x depth xy 
— tan(0"-185) depth x^^, 
deflection caused by this = O'' -185 depth, 
as is easily seen by the resolution of forces. 
Hence the deflection caused by the whole of any one lune is found by adding together 
all the depths of the compartments, and multiplying the sum by the cosine and sine of 
the azimuth, reckoned from the south to the left, to find the North and East force pro- 
duced by the deficiency of matter in the ocean. These added together for all the lunes 
will give the total effect of the portions of the surface beyond the first circle. 
6. In parts where the compartments are broken into by the shores, or the lunes must 
be narrowed in consequence of the land, I introduce the correction by reducing the 
depths in proportion, and leaving the constant multiplier 0"-185 unchanged. Thus too 
in the third lune to the west, the middle line lies along the shore, and therefore half 
the lune is on land, and the depth along the middle line, being zero aU along, does not 
represent the average depth of the compartments. I therefore take the depths along the 
middle line of the half lune, that is, along a line making an angle 7° 30' with the shore ; 
and besides this I take half only of the result, as the width of the lune is diminished in 
that ratio. Again, the most important lune, that which has its middle line due south, 
needs consideration. The middle line lies at the greatest depth in all the compartments. 
The depths of the middle of the compartments will therefore be all larger than the 
average depth of the compartments. The average depth of the compartment in the 
