•224 
MR. HEARN ON DISCREPANCIES OBSERVED 
v z v 14. 
The corrections and are found to be insignificant, and therefore 
q v v< 
(~\~\ | p-1 
where 
Hence if 
and 
we have 
A 
C= 
rjia' 
KiE 
Ftt 2 
Baily’s special constant. 
i_ P v T 2 
T2P 01" ® ptjj 
T 2 C 
_ P' 
«■» — 
T </2 
^'=4rC, 
2_I , : i 
A 8 ‘ S' 5 
i 
A= 
§G+J) 
1 i 
I will now apply this method to a few examples, but instead of deducing g and g/ 
from two consecutive positive and negative experiments, I will usually employ their 
mean values deduced from all the experiments made during a day. 
Also, since A— C is usually very small compared with A+C — 2B, we have 
AC=j(A+C) 2 nearly, and therefore 
P= 
AC-B 2 1 (A + C) 2 — 4B 2 1 
=7 A+C + 2B = 
1-i/I 
1 
A + C — 2B“4’ (A + C) — 2B ~ 4 
which is Baily’s method, and therefore I shall take Baily’s mean resting point as 
sufficiently near the truth. 
2-inch lead balls with bifilar silk lines • 1 77 inch distant, February 26, 1841. Ex- 
periment 1 13, negative 
log 0 = 6-360356 
log T ,2 =5-385954 
ar. co. log P'=8926281 
P'= 11-85 
T' = 493-148 
•672591 
log ^=9-327408 
Experiment 114, positive 
log 0 = 6-360356 
log T 2 =5-409010 
ar. co. log P=9'080294 
•849660 
^=• 21747 . 
P= 8-312 
T = 506-412 
log | = 9-150339 
••• $+?] - 17941 = 4 
^=•14136 
A = 5-5738. 
