362 Astronomical and Nautical Collections. 



secondly, h - m = 45° 47' 28', A - s 13° 38' 6", and the half 

 difference of the- true altitudes 1.5° 38' 39j'' .' and the imme- 

 diate operations will stand thus : 



Rossel's Method, C. T. 



Log. Diff. 9.996719 



Cos. h - - - - - 9.470060 

 Cos. h^d- - - - 9.988001 



2) [1] 9.454780 



9.727390 

 — Cos. i sum - - - - 9.860237 



Sine - - - - - 9.867153 



Conesp. cos. - - - 9.830251 

 4- Cos. i sum - - - - 9.860237 



Sine 29° 21' 44' 9.690488 

 Double 58 43 28 the true distance. 



Adams's Method modified. 



Log. Diff. ------ 9.996719 



Sin. h — ?n - - - 9.855400 



Sin. h — s- - - - 9.372426 



2 Log. sec. i diff. - - - 20.032788 



2) [1] 9.257333 

 Sine 9.628666 



Corresp. cos. - - - 9.956680 

 Cos. I diff. - - - - 9.983606 



Cos. 29° 21' 44' - - 9.940286 



The second process has been lately re-invented by Mr. Adams 

 of Stonehouse ; it may, however, be found in the Berlin 

 Almanac for 1785, where it is attributed to Borda. 



