Jnd LONGITUDE of JBERDEEK 149 



the nonagefimal, and difference of the horizontal parallaxes of 

 the fun and moon, the parallax in longitude is 24' 47". 9, and in 

 latitude 45' 8". 2. 



Again, with y^^ 41' 16", the fum of the right afcenfion of 

 the meridian and fix hours, the latitude and obliqviity of the 

 ecliptic, the altitude of the nonagefimal, is 47° 17' 40', and lon- 

 gitude 48° 8' ^^" ; the apparent diftance of the moon from the 

 nonagefimal is, therefore, 26° 28' 7"; from whence, the altitude 

 of the nonagefimal, and the difference of the horizontal paral- 

 laxes of the fun and moon, the parallax in longitude is 19' 47''. 6, 

 and parallax in latitude 40' S9'-3- 



The true motion of the moon in longitude is 46'48".2, and 

 that of the fun 3'2". i ; hence the moon's reb.tive motion in 

 longitude is 43'46". i ; from which, fubtradling the difference 

 of the parallaxes in longitude 5' o'.j, the rem.ainder 38' 45 ".8 

 is the apparent relative motion of the moon in longitude. 



The true motion of the moon in latitude, in the obferved in- 

 terval, is 4' 2o".4 ; from which, fubtracfting 4' 8".9, the diffe- 

 rence of the parallaxes in latitude, the remainder is the moon's 

 apparent motion in latitude. 



Now, with the apparent motions of the moon in longitude 

 and latitude, the apparent inclination is found to be ly' o", and 

 the apparent motion of the moon in its relative orbit is 23 25". 8. 



With the altitude and longitude of the moon at the begin- 

 ning and end of the eclipfe, the augmentation of the moon's fe- 

 midiameter at the beginning is 9".o, and at the end 1 1".4 ; 

 hence the moon's femidiameter, corrected by the augmentation 

 and inflexion, is 16' t,s"'^ at the beginning of the eclipfe, and 

 16' 3 7". 9 at the end ; and the fum of the femidiameters of the 

 fun and moon, at thofe times, are" 32' 20".^, and 32' 22".9 re- 

 fpedlively ; with which, and the moon's apparent motion in re- 

 lative orbit, the central angle at th^ beginning of the eclipfe is 



53' 



