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We have discussed in the past whether Bygrave used "Aquino's" method of
sight reduction in the creation of his slide rule and whether this would
shed some light on whether the scales on the Bygrave should be called
"tangent- secant" or "cotangent- cosine."

See:
http://www.fer3.com/arc/m2.aspx?i=109184&y=200907

and




http://groups.google.com/group/navlist/browse_thread/thread/899a89a531323f7b/c8e72e846a8e8016?hl=en&lnk=gst&q=aquino#c8e72e846a8e8016




Page 134 of "Primer of Celestial Navigation" by John Favill published in
1944 and available here:





http://books.google.com/books?id=0APvK5PsMlsC&pg=PA134&lpg=PA134&dq=Aquino%27s+method&source=bl&ots=z77XreGi_j&sig=Haj8sY-06llnTMwylnet3bLw-60&hl=en&ei=ro4gSuycEqTmtgPru7iQBA&sa=X&oi=book_result&ct=result&resnum=4#v=onepage&q=Aquino%27s%20method&f=false


states that in 1934 the U.S. Navy Hydrographic Office published a
comparison of 29 methods of sight reduction. Favill then goes on to say
that he knows of five more methods published after the 1934 compendium
including "Aquino's 'Tangent Secant Tables'" plus Hughes, Ageton, H.O.
214 and "Aquino's method of finding latitude and longitude directly."

Aquino apparently published many methods of navigation. The one he
published in 1909 doesn't resemble the Bygrave solution. If his "Tangent
and Secant Tables" use the same method as Bygrave then they were
published well after Bygrave made his slide rule in 1920.

gl

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