REPORT OF COMMISSION V GV-25 
180 
   
  
270° 
   
  
Fıc. 11. Circle eccentricity. 
or 
sin 61(cos qoe) -- [1 — cos 6, |(sin moe) = ei! 
A similar observation equation is written for each value of e’: 
€ 
Il 
(sin 9,) cos moe + (1 — cos 60,) sin moe 
(sin 05) cos qoe + (1 — cos 09) sin moe ^s 
Il 
a) 
(sin 0,) cos qoe + (1 — cos 0,) sin qoe = e, 
The coefficients in parentheses are the observed vertical angles. 
no 1s the angle of the zero axis. 
eo is the eccentricity error of the zero fl angle or reference. 
e€' is the computed error of any observed angle. 
e is the maximum eccentricity error referred to the axis of zero eccentricity. 
The observation equations are converted to two normal equations: one in 
(cos no e) and one in (sin no e). 
[sin 0- sin 0] cos moe + [(sin 6) -(1 — cos 0] sin moe = [sin 0-e'| 
[sin 0-(1 — cos 6) | cos moe + [(1 — cos 0)-(1 — cos 6) | sin moe [(1 — cos 6) e'] 
These equations are solved simultaneously for cos nee and sin nee. Then 
e = |(cos moe)? + (sin moe)? ]!/? 
sin 9€ 
tan no = - : 
COS 70€ 
and 
eo = sin 770€