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Bill

You compare triangles, equilateral, isosceles, obtuse, scalene etc, but the angles in your triangles depend upon the azimuths of the bodies you choose to observe, and you’d get the same angles in your triangle if, for example, your azimuths were 360, 040, and 140, or 360, 140, and 220.  In other words azimuths are either within 180 degrees of each other or not.  Clearly, with half the sky obscured you’d have to stick with the former, but with a clear sky, might using the latter be a more suitable practise with some sextants. Discuss (I’ll allow you to use an equilateral triangle).  DaveP