352 M* BesseTs Examination of the Divisions 



this operation the circle made two entire revolutions, and every 

 angle was determined eight times as follows : 



August 5 and 6. 



August 7 and 8. 



7 30 

 22 30 

 37 30; 



52 30; 



67 30| 



82 30j 

 97 30 

 112 30: 

 127 30 

 142 30 

 157 30] 

 172 30 



187 30-0 

 20230I-0 

 21730! -0 

 23230-0 

 247 30|-0 

 2623O1+0 

 277 30 +0 

 29230J + 1 

 307 30+0 

 322 30+1 

 337 30+0 

 352 30 -0 



-0-62 

 -0-82 

 —0-27 

 -0-09 

 +0-16 

 52+0-43 

 35+0-45 

 52+1-08 

 11+0-25 

 12-I-1-09 

 46+0-12 

 32 -0-64 



-0-60 -0-40J-0-40 

 -0-59J-0-60 -0-24 

 -0-26;-O-4Oj-0-39 

 -0-331-0-30-0-45 

 +0-44I+0-25+0 04 

 +0-61 +0-70+0-17 

 + 0-43+0-60 

 + 1-60+1-29 

 + 0-12]-0-12 

 + 1-21J+1-35 

 + 0-32 +0-37 

 — 0-28! -0-44 



+ 0-53 

 + 1-25 

 + 0-25 

 +0-98 

 -0-02 

 -0-59 



-032 

 -0-51 

 — 002 



-0-31 



-0-05 

 +0-49 



-0-39 

 -0-60 

 + 014 

 -0-39 

 + 027 

 +0-62 



+ 0-62+0-63 

 + l-09|+0-92 

 -0-031+0-46 

 + l-20' + l-26 

 -0-14-0-13 

 -0-59-0-34 



-0-50 

 -0-34 

 -0-23 

 -0-54 

 +0-36 

 + 0-30 

 +0-62 

 + 1-12 

 +0-37 

 + 1-41 

 + 0-37 

 -0-18 



Means. 



-0-456 

 -0-555 

 -0-230 

 -0-308 

 4-0-180 

 +0-480 

 +0-529 

 + 1-234 

 + 0176 

 + 1-202 

 + OI69 

 -0-423 



Probable error of each mean = + 0"'0396. 



For determining the angles of the form n 15° + 3|°, the 

 microscopes were placed at angles of 11° 15' to each other; 

 the observations were not continued beyond one revolution or 

 the fourfold repetition of the angles. I obtained the following 

 errors of division: 



Probable error of each mean = + "'069S. 



The 



