24 



Prof. Encke on Olbers's Method of 



log ft 

 log£ 



9-68427 

 01 5051 

 9-53376 

 0-00053 



tan t) = 9-23273 »j = 0-1709 



log A 

 log h 



. . . 953429. 



9*22527 log (u + c) . 9*78660 



9*53429 



9-94013 



log u. ... 9*47442 



u = + 0-29814 



u+c = + 0-61179 



a + c"=+ 1-25257. 



log b 

 logB... 

 log r . . . 



9-75645 

 003015 

 9-98706 

 9-86996 

 0-16019 



log u + c" . 0*09780 

 log b" . . . 0-05028 



log B" 

 log r" 



0-28332 

 log ^ ss 0*44351. 

 Continuing this value we obtain 



logr = 0*13612 

 log r"= 0*10890 

 log s 2 = 0*42375 

 and by means of this latter again, 



logr = 0-13933 

 log r"= 0*11092 

 log s 3 = 0*42639. 

 Forming now the differences thus, 

 log s l= 0*44351 



log 5 2 = 0*42375 'III +2240 



log s 3 = 0*42639 + Zb * 

 we obtain 



0-04752 

 . 9-86038 



9-92349 

 .0-12403 



or, 



. . (264) 2 



log s -is 0*42608, 



31, 



and by interpolation, 



logr = 0*13895 



log /•"= 0*11068: 

 values which are strictly true, as a repetition of the calculation 

 would prove. Gauss finds 0*13896 and 0*11068. One would 

 in this example have come near the truth by two trials only, 

 for from 



log s = 0*30103 



we get 





log s x = 0-44351 _ 

 log *« = 0-42375 



+ 14248 



1976 



— 16224 



d log 5 2 = + 



(1976)* 

 16224 



= + 241, 



