Gould's Report on Trans-Atlantie Longitude. 237 
with the time of transmission. Otherwise it would effect the 
to be very nearly the same for Mr. Dean and myself, and also 
iP 
. 64: 
The relations of the several quantities derived from the obser- 
eee) 
for Valencia and Newfoundland signals respectively. Incl nal 
in x the personal error of noting signals, the signals given an 
two stations gives 7',— 7, 
parison of the records of Newfoundland signals gives 
T,—T,'=At,'—At, +4--ate, 
and consequently 
2h=(T,-T,!)4+-(T,-T- 1) + (ate —Ate’) + (At, At’) + @ 12) 
+e, =(T, —1,'/)= (= T,/)+(2ta—Ate')—(4t, —44,') 
If we assume the personal error of noting to be the same for 
the two observers, and the signals to travel with equal velocity 
in the two directions, the term «,—«, will disappear from the 
first equation, while the second will give a measure of the sum 
of the transmission-times and the personal errors of noting. — 
The several quantities above indicated are given in detail in 
the Report for the different series of signals, and exhibit excel- 
lent accordance in the results. There appears no 
difference of clock rates to affect the deduced value of x, nor of 
velocity for eastern and western signals to require @ correction 
of + depending on the clocks. ; ° 
e resultant values for the longitude, subject, however, mdi 
ean for personal equation in determining time, are as to™ 
WS 7 
] 
866. ber 25, 2° 51" 56°477 
fovember 5 56°455 
November ps caaet 
> 
9; 56°460 
