FOR DETERMINING THE MEAN DENSITY OF THE EARTH. 
323 
Third Series. Pendulum 8 below. 
No. of 
Number of 
Coincidences. 
Number of 
Mean 
Arc of Vibration. 
Mean of 
Thermo- 
Mean of 
Barometer 
Corrected 
Log. Rates of 
Swing. 
Intervals. 
Intervals. 
meter 
Pendulum on 
Readings. 
Beginning. 
End. 
Beginning. 
End. 
Readings. 
Earnshaw. 
53 
5 
5 
28 
s 
298*521 
1-96 
0-90 
62-05 
in. 
31*335 
9-99716353 
54 
5 
5 
37 
298-819 
1-89 
0-67 
61-85 
31-229 
6506 
55 
4 
4 
42 
298-929 
2-05 
0-63 
61-84 
31-135 
6615 
56 
4 
4 
45 
299-144 
1-92 
0-54 
61-68 
31-049 
6732 
57 
4 
5 
34 
299-342 
1-83 
0-68 
61-61 
30-987 
6919 
58 
3 
3 
40 
299-479 
2-05 
0-67 
61-81 
30-971 
7129 
59 
5 
5 
38 
299-661 
1-89 
0-66 
61-75 
30-953 
7259 
60 
5 
5 
38 
299-832 
1-98 
0-67 
61-65 
30-922 
7416 
61 
4 
4 
40 
299-950 
2-08 
0-65 
61-71 
30-883 
7553 
62 
5 
5 
36 
300-150 
1-92 
0-65 
62-04 
30-907 
7788 
63 
5 
5 
36 
300-300 
1-89 
0-65 
62-08 
30-970 
7946 
64 
4 
4 
43 
300-468 
1-97 
0-59 
62-30 
31-021 
8162 
65 
5 
5 
35 
300-723 
1-84 
0-68 
62-53 
31-050 
8472 
66 
5 
5 
37 
301-449 
1-91 
0-67 
62-80 
31-084 
9234 
67 
3 
3 
42 
301-730 
2-11 
0-61 
62-64 
31-108 
9497 
Fourth Series. Pendulum 
1821 below. 
68 
4 
4 
29 
403-647 
1-98 
0-63 
61-55 
31-119 
9-99792364 
69 
5 
5 
25 
403-892 
2-08 
0-79 
61-73 
31-045 
2585 
70 
4 
4 
27 
404-338 
1-89 
0-59 
61-81 
30-893 
2722 
71 
3 
3 
30 
404-817 
1-95 
0-57 
61-64 
30-746 
2922 
72 
5 
5 
25 
405-256 
1-68 
0-63 
61-66 
30-680 
3117 
73 
5 
5 
27 
405-578 
1-79 
0-64 
61-65 
30-652 
3300 
74 
4 
4 
31 
405-984 
1-80 
0-52 
61-75 
30-651 
3512 
75 
4 
2 
28 
406-281 
1-81 
0-58 
61-88 
30-661 
3712 
76 
4 
4 
29 
406-677 
1-81 
0-54 
61-96 
30-703 
3937 
77 
3 
3 
32 
407-141 
1-91 
0-49 
62-00 
30-796 
4208 
78 
5 
5 
25 
407-372 
1-85 
0-67 
62-19 
30-868 
4414 
79 
5 
5 
26 
407-835 
1-80 
0-60 
62-20 
30-916 
4645 
80 
3 
3 
30 
408-133 
2-13 
0-64 
62-28 
30-982 
4897 
81 
5 
5 
27 
408-511 
1-91 
0-64 
62-73 
30-969 
5146 
82 
4 
4 
31 
409-032 
2-07 
0-59 
62-31 
30-909 
5338 
Section VI . — Computation of hogarithmic Rate of Lower Pendulum upon Upper 
Pendulum; combination of individual results ; and conclusion on the proportion of 
gravity at the Lower Station to gravity at the Upper Station. 
38. The quantity now to be found is Log. 
Rate of Lower Pendulum 
Rate of Upper Pendulum’ 
This is 
= Log. 
Rate of Lower Pendulum 
Rate of Earnshaw 
+ Log-. 
Rate of Earnshaw 
Rate of Shelton 
Log-. 
Rate of Upper Pendulum. 
Rate of Shelton 
The first of these quantities is given, for every Swing, in Section V. ; the second in 
Section II.; and the third in Section IV. Thus the following- numbers are formed. 
2 u 2 
