172 A NEW METHOD OF DETERMINING 
we find 
Sout? HUI, log r, = 0.878246 
where v is the true anomaly. 
Calling w the argument of the latitude we have 
n= ® 2 a = @ = IB? bey 4Ol“{8. 
Hence 
AS ul omy B+ u= 346° 52’ 28.7, O+u = 354° 38’ 36.8. 
And from 
«= rsinasin (A -+ w) 
y = rsinbsin (B+ w) 
z=rsinesin(C+ uw), 
where 
log r = log 7, + 6 log r = log 7, + .000008, 
we have 
aw = + 2.331894, y = — .515433, z = — .070208. 
The equatorial cobrdinates of the Sun for the date of the observation are 
X = — 1.002563 Y= + .045198 Z= + .019611. 
Applying the corrections da, dy, dz, we have 
w+ da4+- X= + 1.329332, y+ dy+ Y= —.470224, z+ 62+ Z7= — .050630. 
