Dear Helmut,
    What you have written surprises me because any dial can be used at any latitude as long as it is in the same position relative to the Sun.  Therefore a Ring Dial only needs to have its suspension point moved so that it thinks that it is at the same latitude that it was designed for. 
    For example, you can use a Horizontal Dial made for, say, UK, and move it to New Zealand as long as it is still in the exact position as it was in England.  It may now be inverted but will tell the correct time (UK time, of course) near sunrise and sunset during NZ summer months.  Move it out into space and it will work perfectly all of the time (as long as it orbits in synchronisation with the Earth).
 
Regards,
Mike Cowham
Cambridge, UK
A ring dial (farmers ring) never works correct in different latitudes. It just cannot be constructed for different latitudes at the same time (except you put on its inner side 2 different scales for different latitudes).

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