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Henry wrote:

> It is unnecessary to compute two positions to lay down a line of position
> by Sumner's method, albeit this is how it was originally discovered and
> done. The Latitude and Longitude ascertained by a single Time Sight
> computation, regardless of the Latitude employed, establishes a point on
> a line of position which is entirely accurate - a line drawn through that
> position at right angles to the computed azimuth of the body employed is
> the same LOP as determined by any other method, and just as accurate.

If I understand, once the longitude is extracted from a given latitude, Hc
will by default match Ho at that point.  Then the LOP can be drawn at right
angles to the azimuth from that point?  So all he needed was the current
azimuth from Hc, latitude, and declination, or George's tangent formula once
the hour angle was derived?

It strikes me that in speed reading the online version of Sumner's book, he
was thinking along those lines when he mused about being able to accurately
measure an azimuth. I don't know the book well enough to put words in his
mouth, nor is my history strong enough to know if an azimuth formula(s)
existed then, but?

Bill

   

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