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    Re: Using any star for a lunar
    From: Alexandre Eremenko
    Date: 2005 Apr 5, 21:56 -0500

    Bill,
    
    > In plane geometry the sum of angles of triangle always equal
    > 180d.  Is that always the case in spherical trig?
    
    In spherical geometry, the sum of angles of a triangle
    is NEVER 180. It is always more. The excess over 180 is essentially
    the area of this triangle. So for small triangles is is close
    to 180, as it should be, because they are approximately flat,
    while for big ones it is much bigger.
    For example, if you mark three arbitrary points on the equator,
    you obtain a triangle whose three angles are 180 deg each.
    
    Alex.
    
    
    

       
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