52 4 
Mr. Cavendish’s Experiments to determine 
F or the second series, let A = arc whose tang. = ~, B = A — ~ , 
C = B -f- D = C — 6 ? c. then the attraction = arc „ qo° 
3^3 S'* 5 
-s/T 
“j” x A 
Bti 5 
_l i££: _ 
^ 2.4 2.4.6 
It must be observed, that the first series fails when n is 
greater than unity, and the second, when it is less ; but, if b is 
taken equal to the least of the two lines ck and cb , there is no 
case in which one or the other of them may not be used con- 
veniently. 
By the help of these series, I computed the following table. 
,1962 
.3714 
>514*5 
,6248 
, 7 ° 7 i 
,7808 
.8575 
,9285 
>9 8 15 
,1962 
>37 H 
>5i4<5 
,6248 
>7 0 7i 
,7808 
>8 575 
>9 28 5 
>9 8i 5 
,00001 
,00039 
,00074 
001 10 
00140 
00171 
00207 
00244 
00271 
00284 
00148 
00277 
00406’ 
00322 
oc 637 
007172 
00910 
01019 
01054 
00521 
00778 
01008 
01245 
01522 
01810 
02084 
02135 
01 183 
01525 
01896 
Q2339 
02807 
03193 
0334*7 
02002 
02405 
03116 
03778 
04368 
04560 
03247 
° 39 6 4 
O4867 
° 5 6 39 
05975 
05057 
06319 
07478 
07978 
081I9 
09931 
IO789 
12849 
14632 
* 
I96I2 
Find in this table, with the argument at top, and the argu- 
ment — in the left hand column, the corresponding logarithm; 
then add together this logarithm, the logarithm of and the lo- 
garithm of ~ ; the sum is logarithm of the attraction. 
