I50 DET'ERMINAriON of the LJTITUDE 



S3° ^5' ^^'> ^^^ ^^ ^^^ ^^^^ 53° 9 39") hence arch firft is 

 53° 32' 20", and arch fecond 52° 52' 39". 



With thefe arches, and the fum of the femidiameters of the 

 fun and moon at the beginning and end of the ecHpfe, arches 

 third and fourth will be found equal to ig' 13''''. 2 and 19' 32''''.6 

 refpecftively. Now, the fum of arch third, and the parallax in 

 longitude at the beginning is 44' i''''. i, and the difference be- 

 tween arch fourth, and the parallax in longitude at the end, is 

 i5''''.o. Now, with this fum and difference, the moon's true re- 

 lative motion in longitude, and the obferved interval, the diffe- 

 rence between the beginning of the eclipfe and the conjundlion 

 is i^ 16' 36"^. I, and between the end and the conjundlion 26^1. 

 Hence the apparent time of conjundlion, inferred from the be- 

 ginning, is 20^^ 49' 55^''.!, and from the end it is alfo 20^ 49'. 

 55^^.1, But the apparent time of conjundlion at Greenwich is 

 20 -1 58' 2y^''.g ; hence the longitude of Aberdeen in time is 

 8' 3 2"''. 8 weft. 



Computation of the Apparent Time of Conjunction, on 

 the Spheroidal Hypothefis, at Greenwich. 



h. ' " h. ' " 



Appt. time of beginning, 19 24 464- App^ time of ending, 21 i 24 



Sun's right afcenfion, 4 51 307 4 51 47 



Right afcen. meridian, 

 Moon's true long. 

 Eft. par. in long. 







16 



n 



2 



13 19 37 



+ 



30 



10 



2 



13 49 



47 





60 



33-0 





— 



9.6 



ftimated app. long. 

 tToon's hor. par. 

 Reduftion, 



Reduced hor. par. 60 23.4 60 25.3 



Sun's 





I 



S3 



II 



2 



14 



18 



59 







22 



51 



2 



14 



41 



5° 







60 



34-9 

 96 



