ASTRONOMY. 



nearly destroy one another. The compression 

 may therefore be stated at .0032 = and the 



equation which does most nearly represent the de- 

 grees of the meridian, will from thence come out, 



D = 5701 1* 272'.65 cos 2 A. 

 In fathoms, 



D = 60759.472 - 290.576 cos 2 A. 

 In miles, D = 69.044 3299 cos 2 A. 



c. Hence, by the formulas ( 59. .), 



Toiscs. Fathoms. Miles, 



c = 10469.58 = 11158.8 = 12.680 



a = 3271743.00 = 3486858.8 = 3962.349 

 I = 3261273.42 = 3475700. = 3949.669 

 Radius of curvature for the parallel of 45 = 



a C - = 3266508t.21 =3481279^.4 = 3956 009 



miles. The miles meant here are English miles. 



d. The circumference of the Elliptic Meridian may 

 be found nearly by multiplying the mean degree, 

 or that in the parallel of 45. by 360. The result 

 is 24855.84 miles. 



The 



