46 
ARCHDEACON PRATT ON THE EFFECT OF LOCAL 
Coordinates. 
Ratios. 
Ratios 
in decimals. 
First angles. 
Second angles. 
Log-tangents. 
Results. 
For A (lying to the north of the parallel through Burleigh Moor). 
miles 
30 
0 / II 
0 1 li 
0-1825496 
X = 23 
10-0000000 
84 17 20 
87 8 40 
1-3020723 
10 
23 “ 
Deflection 
Y = 30 
0-4347826 
23 29 50 
56 44 55 
0-1833190 
in merid". 
505 
X =■ 3 
30 
23 ~ 
1-3043478 
52 31 20 
71 15 40 
0-4694955 
x^=_0"«0 
y = 10 
10 
3 ~ 
3-3333333 
73 18 0 
81 39 0 
0-8333462 
For B (lying to the south). 
X = 40 
30 _ 
3 ~ 
10-0000000 
84 17 30 
87 8 45 
1-3022389 
1-8638725 
16 
Y = 30 
40 ~ 
— 0-4000000 
—21 48 2 
34 5 59 
r-8306l68 
628 ,, ^ 
30 
X 369 = + 
X = 3 
40 ~ 
0-7500000 
36 52 6 
63 26 3 
0-3010169 
y =-16 
16 
~Y ~ 
— 5-3333333 
—79 23 10 
5 18 25 
2-9679663 
For C. 
X = 88 
32 _ 
40 “ 
0-8000000 
38 39 35 
64 19 47 
0-3181903 
0-3192385 
II II 
O ^0 
30 _ 
m ~ 
32 
88 ~ 
-0-3409091 
0-3636364 
— 18 49 30 
19 59 0 
35 35 15 
54 59 30 
r-8546701 
0-1546388 
x|g=+«».388 
y =-30 
30 _ 
40 — 
— 0-7500000 
-36 52 6 
26 33 57 
T-6989831 
For D. 
X = 270 
80 _ 
88 ~ 
0-9090909 
42 16 26 
66 8 13 
0-3542184 
0-3278590 
Y = 80 
X ■=■ 88 
30 _ 
270~ 
80 
270~ 
— 0-1111111 
0-2962963 
- 6 20 30 
16 30 15 
41 49 45 
53 15 7 
1-9518325 
0-1268639 
X II = + 0"-350 
30 
y =-30 
~ ^ ~ 
-0-3490909 
-19 14 38 
35 22 41 
r-8513280 
Total deflection to south = 3"'660 
24. Hence, according' to this rough approximation, the deflection of the plumb-line 
at Burleigh Moor to the south is 3"-660. It will be observed that the attraction of 
the space B is much larger in its amount than that of any of the other spaces ; in 
