EXPERIMENTS OF MESSRS. FINCHAM AND RAWSON. 
643 
For very small angles of amplitude f{&) is very small, and may be entirely neglected, 
shoudng that for small angles the oscillations are independent of the angles. 
The value of isj was in the first place calculated in respect to one of the 
quantities Tj, T^, &c., then in respect to two, and so on, to four. The mean of these 
four values being then taken in respect to each experiment, a final mean was taken 
in regard to all the experiments. The data and the results are stated in the follow- 
ing Table as it regards the value of and the rest in the first Table, p. 629. 
The times of oscillation, as calculated by formula (22.) and as determined by experi- 
ment, are stated in the second Table on that page. 
Angle of 
oscillation A 
1+/^- 
Value of ^ calculated in inches from 
time of 
Mean value 
of V 
in each ex- 
periment. 
Mean value 
of 
in all the 
experi- 
ments. 
One 
oscillation. 
Two 
oscillations. 
Three 
oscillations. 
Four 
oscillations. 
w— 197-18 lbs 
O / 
5 
7 30 
10 
1-0004762 
1-0010723 
1-0019072 
11- 336 
12- 318 
12-003 
11-780 
12-200 
11-620 
12-356 
12-828 
11-620 
12-461 
12-903 
11-870 
11- 983 
12- 562 
11-550 
1 
>12-033 
J 
^=4-9 inches 
W— 255-43 lbs 
2 30 
5 
7 30 
10 
1-0000235 
1-0004762 
1-0010723 
1-0019072 
11-128 
9-429 
11-910 
10-332 
10-731 
10- 328 
11- 315 
10-818 
11-194 
10- 924 
11- 976 
11-446 
11-227 
11-123 
11-935 
11-414 
11-07 
10- 451 
11- 784 
11-000 
!>11-076 
J 
A=5-97 inches 
4 N 2 
