110 =New Method of determining the Longitude. 
in this country, where we have no observatories, and so 
ew meridians fixed with much accuracy. 
The author of this paper, after several pages of prelimi- 
final equation. 
v=[(-rti(S bee “ay x [srbexe = : 
In this formula, 2 denotes the correct pee! of the 
meridians of the two observatories; ¢ the difference be- 
tween the time of the transit of the moon’s limb and the 
star, at the most westerly observatory; + the same differ- 
ence at the eastern observatory ; + the moon’s true semi- 
diameter, as seen from the earth, for the apparent time at 
her culmination at the western observatory ; d the moon’s 
declination at the same time; ¢ and 94, the same quantities 
respectively, as the two last, for the time of the moon’s 
culmination at the eastern observatory ; ; ¢ the true value 
of a solar day in sidereal time, or 24 hours added to the 
sun’s daily increase in right ascension; c the apparent 
time of the moon’s culmination at the western observatory, 
reduced to the meridian for which the ephemeris made use 
of was computed ; @ the moon’s true right ascension at 
that time; A and 6, the same quantities, respectively, as 
the two last, as shown by the observation at the eastern 
observatory. Where the ambiguous symbol + occurs in 
the preceding equation, the upper sign is to be taken when 
the first or western border of the moon is observed ; and the 
lower sign, when the second or eastern border is observed. 
But in all cases where the difference of meridians is not 
* A few years since, we observed several meridian transits of the moon 
and stars, with a good theod 
ied (in the dene rth of facilities among us for astronomical} observations, ) a 
of deducing the longitude fro: om § stich observations wit th such instru- 
as, pending on equal altitudes for , and on the 
tables for the elements, instead of corre sponding observations. But want 
of time and health has prevented the execution of the plan ; and since 
reading the paper of Mr. Bail y, and coat the much better mode of 
corr 
€spo observations likely to tobe ely practised we are y petin- 
ed to dismiss our project 
