OF THE SOLID CEUST OF THE EAETH. 
353 
Station Damargida. 
h =0-3663, £=2-84091, h+mk= 284-457. 
, 7i 2 = 0-13418, £ 2 —2M= 5-98947, (£+?w£) a = 80915-78. 
By (7) we have, as before, r=12; and therefore formula (6) may be used throughout. 
By (6) E 
66-35093 0-12278 
(2r+l) 2 r(r + 1) 
r. 
Values of R. 
/3- 
Resultants. 
17 
- 005416 - 0-00040 = - 005456 
O 
22 
— 0 0000003 g 
18 
- 0-04847 - 0 00036 = - 0-04883 
41 
— 0 0000005 „ 
19 
- 0 04208 - 0 00032 = - 0 04240 
50 
-00000006,, 
20 
- 0 03947 - 0-00029 = - 0 03976 
62 
-0 0000006 „ 
21 
- 0 03588 - 0 00026 = - 0 03614 
68 
-0 0000006,, 
22 
- 0-03276 - 0-00024 = - 0 03300 
73 
-0-0000006 „ 
23 
- 0 03004 - 0-00022 = - 0 03022 
58 
-0-0000005 „ 
24 
- 0-02763 - 0 00020 = - 0 02783 
46 
-0 0000003 ., 
25 
- 0 02669 - 0 00019 = - 002688 
32 
-0 0000002 „ 
26 
- 0-02362 - 0 00018 = - 002380 
9 
-0 000000 1 „ 
27 
- 0 02184 - 0 00017 = - 0 02201 
12 
- 0-000000 1 „ 
28 
- 0-02042 - 0 00016 = - 0-02058 
12 
-00000001 „ 
29 
— 0 01906 - 0-00015 = - 0 01921 
12 
-00000001 „ 
Resultant at Damargida for the Himalaya 
s 
-0-0000046 g 
20. As the Resultant Vertical Attraction at Damargida, which is far from the Hima- 
layas, is small, we may find that at the still further stations in the list, viz. Bangalore 
and Punnae and the others, by the law of the inverse cube, which I have proved in 
paragraph 17. The distance of Damargida from the centre of the tableland which 
I have taken to represent the Himalayas in this problem, is about 16°. Hence the 
Resultant Vertical Attraction caused by the Himalayas will be as follows: — 
50. 
m=100. 
m= 50. 
m= 100. 
At Bangalore 
,, Punnae 
„ Cocanada 
„ Madras 
- o-oooooi 0# 
-0 0000005 „ 
-0-0000019,, 
-00000010,, 
20 g 
11 „ 
38 „ 
20 „ 
At Mangalore 
„ Alleppy 
,, Minicoy 
—00000009 g 
-0-0000006 „ 
-0 0000005 „ 
18 g 
13 „ 
11 „ 
§ 6. Calculation of the “ Resultant Vertical Attraction ” of the. Sea at Stations on a 
Continent , on a Coast , or on an Island. 
21. I will suppose a straight coast-line, the sea-bottom shelving down and then rising 
again, so as practically to be equivalent to a uniform descent to a depth H at a distance 
XJ from the shore, and beyond that to have no sensible effect on the Resultant Vertical 
Attraction. 
Let u be the horizontal distance from the shore, and z the depth of an elementary 
horizontal prism of sea-water, of indefinite length, running parallel to the coast-line ; a 
the distance on the sea-level of a station in the interior of the continent on which the 
effect of the sea is to be found. Suppose the horizontal prism to consist of two parts of 
indefinite length, divided at the point opposite the station on the coast. The attraction 
3 c 2 
