MATHEMATICAL PAPERS. s 
Thus it appears, by the Greenwich obfervations of the be- 
ginning and end of this eclipfe, that the latitude of the moon, - 
given by Mayer’s tables, is 18'', 9 too fmall,* which correc- 
tion, being applied, will give her latitude at the beginning 19’ 
39'*, 6, and at theend 25* 11'', 7. Hence the vifible differ- 
ence of longitude, at the beginning, was 28' 16'', 3, and at 
the end 27’ 36'', 7 ; and the true longitude by obfervation 3° 
349734; Tad 374^ 32^ 22,4, the difference being 1° 
5’ 49°’, as by the tables. The true difference of longitude 
between the fun and moon, at the beginning, was 151°’, 5, 
the moon’s longitude being the greateft : Therefore, »'s horary 
motion from © 2113'',3 : 1 hour = 3600" :: UN vo MM 
= 4' 172" ; which being fubtracted from 35^ 40’ 11” (the ob- 
ferved time of the beginning of the eclipfe at Greenwich) be- 
lly paíle ahe gnen leaves, 53 3 x 
‘Let us now aflume 4™ 44 ' 4" for the difference of meridians 
between Greenwich and Chelfea, and find the aa? for 
Chelíea, at the end of the eclipfe, viz. At 11” 38'23 ^, an- 
f vering | to £ 22" ag'a ‘at — devais to nin T 
"mo 
tion. 
At Chelfea at 11^. 38* zo A. M. apparent time. 
The fun’s longitude, — —— ae 35:32 ‘42,8 
The moon's ecliptic longitude, - : 2:2 333 195 
T- “G2 , The 
* By the Oxford obfervations of the beginning and end of this eclipfe, the error 
in latitude, in Mayer’s tables, was — 20", 6, differing but o’, 7 from ue error 
found by the Greenwich obfervations. 
