PHILOSOPHICAL TRANSACTIONS. 



355 



VOL. LXXXIV.] 



place g, or g, are given the distance from the meridian of Copenhagen = gk, 

 and the distance from the perpendicular = ak, and q/= af = av X tang. v. 

 In the case that g is more southerly than an, then fk = af-\- ak. If the place 

 is northerly, ihenfk = af— ah. Hence tang, dfa = |r. The complement to 

 the angle dfa is the angle fna =^fgh, which the meridian gdf makes with the 

 perpendicular to the meridian of Copenhagen. Now dea : dfa = af : am = 

 tang. V : sin. v ; therefore the longitude of the place g from the meridian of 



Copenhagen = dea = dfa X ^'^"^" "^ = -^H. 

 ° sin. V COS. V 



Again, gf= . , = -4- — . If the place g is more southerly than the per- 

 pendicular an, then dg = gf —fd = gf — o/; if more northerly than an, in 

 that case dg = qf—fg. Hence the latitude of the place g may be found. The 

 following table contains the latitudes of towns and places, with their longitudes 

 from the Royal Observatory at Copenhagen, calculated from our trigonometrical 

 operations. 



Longitude. 



Sea or Country. 



Latitude. 



In Degrees. 



In Time. 



Landscrone 



Hveen (church) 



KuUen (light-house) 



Frankekhnt (cape) 



Kongsberg (cape) 



Spreie (isle) 



Copenhagen (observatory). . 



Roeskilde (cathedral) 



Holbek (church) 



Kallundborg (church) 



Korsor (light-house) 



Nestved (church) 



Wordingborg (tower) 



Ringsted (church) 



Skagen (light-house) 



Hioring (church) 



Fladstrand (church) 



Saebye (church) , 



Aalborg (St. Budolph) 



Nibe (church) 



Greenaae (church) 



Banders (highest steeple). . . , 



Viborg (cathedral) 



Aarhuus (cathedral) , 



Ribe (cathedral) 



Hadersleben (church) 



Norborg (highest steeple). .. 



Apenrade (St. Nicolas) 



Tondem (Christ.) 



Sonderborg (St. Mary) 



Flensborg (highest steeple) . . 



Husum (church) 



Gluckstad (highest steeple). . 



Hesseloe (isle) 



Anholt (light-house) 



Sweden 



Langeland 



Moen 



Belt 



Seland. . . . 



North Jutland. 



South Jutland 

 or Schleswig. 



Holstein . 

 Kattegat. 



55°52' 23' 



55 54 38 



56 18 3 

 55 9 44 



54 58 3 



55 19 56 

 55 41 4 

 55 38 25 

 55 43 2 

 55 40 54 

 55 20 22 



13 55 

 32 

 55 26 51 



57 43 44 

 57 27 44 

 57 27 

 57 20 



2 



55 

 55 



57 



3 



2 

 57 



56 59 4 

 56 24 57 



56 27 48 



57 27 

 9 



11 



35 



19 57 

 15 15 



53 



57 



3 



2 



54 56 30 

 59 



IS 



54 54 

 54 47 

 54 28 29 

 53 47 4+ 

 56 11 46 

 56 44 20 



0°15'16'' 

 5 56 



7 58 



1 38 47 



4 12 



1 37 

 



29 48 



2 51 26 



1 29 

 1 27 

 49 12 

 40 4 



47 20 



1 57 55 



2 35 17 

 2 2 15 



2 36 



39 4 



55 54 



49 



3 



9 25 



12 

 



2 

 2 

 2 



1 41 



2 32 

 3 



2 21 40 

 3 

 3 

 2 

 3 

 3 

 2 

 3 

 3 



3 8 43 

 51 44 

 55 24 



48 

 4 



49 

 9 



41 



47 

 8 



31 



25 



56 



53 



7 



53 



1 



5 



3 



1" 0.5' F. 

 23.75 E. 

 31.75 w. 

 6 35 yr. 



16.75 w. 



35.25 w. 

 



59.75 w. 



25 75 w. 



56.75 w. 



48 w. 



16.75 w. 



40.25 w. 

 9 25 w. 



51.7 w. 



21.1 

 9.0 



10.5 



10 36.3 

 11 43.6 



47.3 

 8.2 

 37.7 

 26.6 

 13.7 

 19.7 

 19.6 

 36.9 

 14 47.5 



11 8.1 



12 32.3 

 14 4.2 

 12 34.8 



3 27 

 3 41.5 



w. 



w. 



w. 



w. 



w, 



w. 



w. 



w. 



w. 



w. 



w. 



w. 



w. 



w. 



w, 



w. 



w, 



w 



w. 



w. 



z z 2 



