GV-24 PHOTOGRAMMETRIC ENGINEERING 
we may write 
av + bw = C1 
AQU = boy 
Il 
anv + by = Ca 
Normal equations are formed in v and v: 
[a-ajv + [ably 
[a-b]v + [6-0] 
|. AM 
pm 
> & 
SS 
Solving for v and v, 
v — Ay! — tan AgAx' 
tan An 
= 
Il 
and 
tan An(1 — Ay’) = Aw’ 
y = A y! — tan? An(1 -— Ay’) 
U + tan An 
Ay! == — ETRE EE 
1 + tan? Aq 
Ax’ = (1 — Ay’) tan An 
Ax’ 
tan ny = — 
A y! 
Ax = RAx' 
Ay II RA y" 
es = (nm — An) — 0 
és = (ma — An) — 9 
en = (Un — An) — On 
The equations for determining the axis of zero eccentricity by the alternate 
solution may be derived from Figure 11. In accordance with the sine curve, 
sin Noe = 69 
and 
sin (01 — no)e = € 
o , > 
01 7 €1 ~ Co 
Therefore, 
sin (61 — mo)e + eo = 
Expanding, 
sin 0, cos noe — cos 0, sin moe + € = ei'