286 + Mr. Bowditch on the solar eclipse, June 24, 1778. 
and, by a similar calculation to the preceding, the error of the moon’s 
latitude by this observation is — 10”1. 
At Providence the greatest obscuration was nearly at Of. 18’ 55” 
apparent time, the lucid part measured by a micrometer was then 
$ses, parts of the sun’s semidiameter, equal to 139"°73. The sun’s 
semidiameter 16° 05°16, the moon’s augmented semidiameter 16' 
30°67, the ()—©) parallax in longitude 12’ 55’-0, in latitude 47 
11”-0. Hence the error in latitude by this observation is —~ 1”*4. 
The mean of these four observations gives the error of latitude — 
10-4, the same as was assumed. 
Lclipse of the sun of June 24, 1778. 
The end of this eclipse was observed at Bradford, Massachusetts, 
by Doctor Williams at 114. 38’ 16” A.M. apparent time. The lati- 
tude of the place is nearly 42° 46’ N, reduced 42° 34’ 34”, Using the 
same tables of Delambre and Burg, correcting the moon’s longitude 
+62 and latitude + 1”*1, as deduced from the observations at Green-» 
wich before given; supposing the irradiation 3”°5, inflection 2". It 
was found that the ()—©) parallax in longitude was +5’ 14”7, in 
latitude 19’ 52"*1, whence the apparent time of conjunction at Brad- 
ford was at 10h. 51’ 46"-2 A. M. apparent time. The difference be- 
tween this and the time of conjunction at Greenwich, calculated be- 
fore, 3h. 35’ 52-9 gives the longitude of Bradford 4h. 44’ 6"7 W 
~. from Greenwich, or 30’-0 W from Salem, which agrees very nearly 
with the map of Massachusetts. 
Annular eclipse of April 3, 1791. 
This eclipse was observed at Georgetown, Columbia, by Mr. 
7 Ellicott, in the latitude of about 38° 55’ N, reduced 38° 43’ 47’, 35 
appears by vol, iv. page 48 of the Transactions of the American Phi- 
alsophical Society, and the observations have been calculated by Mr 
