A Community Devoted to the Preservation and Practice of Celestial Navigation and Other Methods of Traditional Wayfinding
Sextant double reflection: angles halved
From: Richard Toohey
Date: 2021 Feb 15, 09:29 -0500
Thanks for that Sean. I turned away from your email fast enough to preserve my innocence but slow enough to know my rendering was similar to yours. So I think I’m on the right track! Just need to find an elusive geometric relationship or two!
But it’s good to know where to go if/when I cry uncle!
The proof is given on page 261 (Chapter 16, §1601) of the 2002 edition of Bowditch. I have also attached my rendering of it below.
Of course, I understand if you still want to work it out for yourself. In that case: don't look at the attached picture. ;)
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