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Zorbec and George both have it right.  The first error
was that I mis-copied the wrong number for log sec of
Latitude, copying 9.12462 instead of 0.17875.  The
second error was an addition error, which gave me log
hav t = 9.22991 instead of the correct value of
9.22921.  This gives t = 48d 37.6', which is within
0.1' of the Method 1 result.

I noticed that the value of log cos s is a bit
sensitive to the fact that I rounded (164d 41.1')/2 to
82d 20.6'.  The 5th decimal place of the log cos
changes by 5 if I do not round.  I then decided to
carry all the calculations to 10 decimal places on a
computer.  Here is the result:

h    24d 54.3'
L    48d 30.1'     log sec  0.1787497078
p    91d 16.7'     log csc  0.0001081019
  2)164d 41.1'
s    82d 20.55'    log cos  9.1246707117
s-h  57d 26.25'    log sin  9.9257270216
                            ------------
t                  log hav  9.2292555430
t    48.628933344d W
t    48d 37.736' W

This agrees even more closely with my Method 1
calculation, as it should.

Best regards to all,

Chuck Taylor
North of Seattle




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